help! is this bad?

[greencactus3]

right now, we have for each wheel, on the kit axle. a kit 12in wheel between 2 kit ball bearings on kit pillow blocks. a sprocket is outside one side of one bearing.

like this

B......W........B ........S
E.......H.........E.........P
A===E=====A=====R=====
R.......E .......R.........O
I .......L..........I..........C
NG ................NG.......KET

kinda get the idea? well, you see the sprocket is outside the 2bearings.
do you think we should put another bearing outside the sprocket too?
like this


B......W.........B ..........S..........B
E......H ........E .........P .........E
A===E=====A=====R=====A
R......E .........R .........O.........R
I......L............I ..........C........I
NG ..............NG .........KET......NG


is that 3rd bearing needed? it is too late for us to try to put the sprocket inside the 2 bearings next to the wheel.
we are too close widthwise to make the wheel go onto the otherside of the bearing so the sprocket is between, but the wheel is not.

please tell us what you think. if we should try to put the 3rd one on, or not.
it would help if you could give us some good reasons why or why not too.

please keep in mind that trying to put the 3rd ones on will be very akward on our present design.
thanks!