What happen if you put an egg into a container of water?
How can you make it float?
You need to make the egg less dense or the water more dense.
I don't know how to readily change the density of an egg, but I do know how you can make the water more dense: SALT.
Start adding salt a tablespoon at a time. It takes a bunch of salt, so don't give up. Eventually, there will be enough salt dissolved in the water and the egg will float.
Don't be all fancy and use kosher salt. Regular old salt works better - the smaller size makes it dissolve easier. Go ahead, ask me how I know (and then look at the picture above to find the answer).