Radio waves will not travel through the Earth. It's just too dense for that.
Think of it this way: when you take an x-ray, you can see your skeleton in detail in the photograph. That's because when thea beam of x-rays gogoes through you, most flesh allows it to pass through with minimal refraction, but it doesn't go through your bones as easily.
Radio waves have less penetration power than x-rays. The planet is considerably denser than you, and it gets denser the deeper you go.
In fact, not even higher-energy radiation like gamma rays would get through the earth. You'd need neutrinos for that, but then, that's not electromagnetic radiation and no, there is no technology to use those to communicate (yet).
Long-range radio communication will usually work with waves that reflect on the ionosphere, have the waves being sent in a very tight beam (you get more range for the same power this way, when compared with omnidirectional transmission), or use relays. It is very usual, for example, to combine the latter two strategies by using sattelites.