How to press on right rear axle bearing w Hydraulic press

I did replace inner and outer seal. I’m not clear with your terms “button in the 3rd member”. Is this something in the differential? If I lift up on the retainer with the axle as shown in the picture - the race will press against the inner race/bearing assembly. I can turn the the adjuster a LOT and it will finally hold the outer race against the inner/race assembly. (Is this the “cup” you refer to?). I recall from reading that I will back the adjuster off some after everything is in place.

Sound right?