This is a proper name for when you attempt to insert your nuts into a girl's ass. It is so named because it can be just as hard as keeping a dog in the tub while giving it a bath.
The act of inserting one's entire penis and scrotum into an anus or vagina. The difficulty of that feat is akin to getting three dogs to take a bath at once, hence the phrase 'three dogs in a bathtub.'
Fitting my whole package into Sarah was harder than putting 3 dogs in a bathtub.