If you can, upgrade to 3 prong, just kill power and swap the wire to the new outlet. It really can be a safety issue, ever touch two computer cases on two different circuits that are not grounded? You actually usually get a NASTY little shock sensation going through you. Ground is meant to bring every thing to a common charge and literally allow excess power go straight into the ground.
Be thankful your home uses copper wiring, at one time they used ALUMINUM wiring, talk about dangerous. House wiring in the early 1900's, and if the ower was insainly lucky, late 1800s used ceramic knobs and bare wire, each wire was a foot apart, and ran along where ever to get power, all it was used for in those days was a light bulb or two, and if you was rich enough a radio that used them fancy wax like capacitors.
Yeah. Our old house was wired in the 60's. Image paper wrapped wires in a mesh overwrap... no plastic, no rubber, no ground. That house has now been rewired to today's standards. I'm amazed it didn't burn down on us.