If you carefully pan fry your tilapia filet, you won't need to bake it. It will come out firm, flakey and moist. If you are cooking a whole fish, baking or roasting seem to work better, from my experience. But, for filets, I prefer a pan sauté over medium heat until just done. I use either olive oil, or butter, but often, a 50/50 blend of the two.
“People say nothing is impossible, but I do nothing every day.” Winnie-the-Pooh