This could be a way =)), but another would be to extrude the prouting part and try to slide vertices manually on edges but i'm not a fan of that one :).
@guitarguy00 They don't have to be PERFECTLY aligned, you can just weld them together. You can see that these edges aren't perfectly straight, artist didnt have them perfectly aligned to begin with, but flows well enough (weld horizontal onto vertical cylinder's vertexes, if you weld other way around, you'll tamper with…
In Bitmap's tutorial for making a circular hole in an object he mentioned that he used a script to make the edges circular, or that you could use a spherify modifier in Max. In Maya you would either select the edges and convert to vertices, or select the vertices themselves, and use a "sculpt deformer" under the…