What size tank do you have? What else is in it?
I would begin by saying that three-spots are an ideal gourami to begin breeding with because they are the easiest to spawn and quite prolific. They are also very hardy and forgiving. However, they are also one of the more aggressive species.
Miss Dib Dabs is lucky with her fish, but she also has what's mainly a species tank. You won't be able to breed your fish in a community. Besides the fact that the male would be highly aggressive, the other fish would eat the eggs and fry.
Gouramies also are nothing like livebearers or cichlids where the fry are quite large and can usualy be fed crushed flake, you need minute foods - microscopic infusoria or liquid egg-layer foods to begin with, microworms, newly hatched brine shrimp or vinegar eels for later. In a heavily planted set-up, some fry may be able to find naturaly occuring infusoria and survive, but most perish quickly.
Strong currents or powerful filtration also present a problem. They suck up younger fry (though they are soon strong enough to out-swim currents) and destroy bubblenests. Having said that, raising fry is messy. This is one good reason to breed in a seperate breeding tank and have an even larger grow-out tank for the fry when they are older. Younger fry do better in smaller tanks as they can find food more easily without you having to pour in huge amounts and dirty the water.
Three-spots do best when either kept in a female-only group (as yours are) or in a large tank in a large group consisting of a single male with several females. Males can be incredibly violent if they feel like it and females and other fish will often get chased, nipped and stressed as a result. Unless you are desperate to breed and have done your research, stick to your two females.
Which brings me to research - do a google.com search. Search the forum, look at the pinned articles. Consider that a large spawn can consist of hundreds of fry - what will you do with them? How will you grow them out? - More importantly, where? Get the foods ready - you won't have time later. Appreciate that the parents have to be moved out (the female once spawning is complete, the male once the fry are free-swimming) - do you have somewhere to put them? Remember that the male, especialy, wiull become extremely aggressive. He is capable of killing most tankmates - including the two females you have right now. He may also, indirectly, kill them by stressing them out through too much chasing or defending of his territory - even when they aren't breeding.
Not only do you need to first consider all the above, you should also realise that, unless you get a male the same size as your current females, a younger, smaller fish is likely to get bullied for a while when first introduced to the girls (though later the tables will turn as he catches up and overtakes them in size).
Just so you know, all trichogaster and colisa species breed in a similar manner. If you can't find much on trichogaster trichopterus, look up the others.
If you still want to breed, just make sure you've done your research first

.
Sorry about the lecture BTW
