You can't waterproof a concrete floor to prevent hydraulic inflow. A residential garage floor has no significant structural capacity for up-loads. Any head of water greater than the weight of the floor will crack the floor or come through the existing cracks of joints.
The only solution is to get rid of the hudraulic pressure.
You should try to find where the water is coming from, either from the water table (unlikely) or from some place where the earth is getting saturated during periods of heavy runoff. The water pressure is coming from some place where the earth is higher than the floor.
If a place is built into a hill, the foundation wall toward the hill is often the culprit. Water runs down the hill and is not diverted, or it soaks into the ground behind the foundation wall.
If surface water can be diverted, that is the place to start. If you have a place where water from the roof or from the surface is running toward the problem area, try to divert it. If there is standing water or a ditch near the building that is higher than your garage floor, that is probably where the water is coming from. If it is standing water, drain it. If it is running water, try to "waterproof" the botton of the ditch or pipe the water away to prevent it from soaking into the ground.
If the source can be isolated to an outside area, you can install "French drains" outside the house, or inside along the edge of the floor, to collect and dispose of the water. That process is usually an expensive "Big dig".
The easiest place to start is to find where the water seems to be coming into the area, dig a hole, put in a sump pump as deep as possible, and pump it away. If you can isolate it to a place outside, that will work too, but it is usually hard to find the one place that will solve the problem.
The "incoming" place is almost always near the wall or foundation, unless you have a spring under the floor. If it must be where you drive, you can make a cover that will support a car from pressure treated planks or reinforced concrete, or you can try to find a surplus manhole cover.