I have been searching for a part for a 36 in cut riding lawn mower. I am unsure of what type of part it is but it goes up through the deck and under the seat. It is round and smooth on one side and has a hole in the center that a rod goes through. I think it is part of the brake system the numbers I got off the mowers are 93-706-5 mom 7006 A78 7-35505x10 I need an idea of where to find this part or what kind of part it is.

Not sure of what you are describing here. It goes from the deck and under the seat, not connected to the seat correct? Is it a cable inside a sheath housing?