Check your Owner's Manual
The rear diff and the front cross-member that covers your oil pan are the recommended jacking points.
As far as balancing the car on a single point, you're not...unless you jack up both the front & rear at the same time. The opposite end of the car has 2 wheels (or 2 jack stands) on the ground, giving you a tripod effect.
Having said all that, don't jack up your car by any center point with one of those POS $25 floor jacks. Yes, it will (and did) fall. Threw mine away many years ago.
Spend a hundred bucks on a good HD floor jack.
Peace,
Curtis