Why is my car shaking so much at high speeds?

I drive a 2000 Honda Civic. Has about 160k miles on it. When I drive over 60 mph my steering wheel starts shaking bad. It shakes vigorously for about 3 seconds and then stops for about 2 seconds, shakes for 3 seconds and stops for 2 seconds. It continuously does this the entire time when going over 60 mph. This has been occurring for over a year now and the shakiness has been getting worse. When I apply my brakes at this speed they also shake but nothing like the steering wheel.

In January 2016 I had both tie rods replaced. I also got 2 new tires and they are on the back.

On March 12, 2016 I got all my tires balanced. I took my car in to have the rotors resurfaced but they told me I would be wasting my money. My rotors looked good.

After I got all tires balanced my car still shakes in the same intervals but it seems a 'little' less than before.

My car is up to date on all maintenances, just got it an oil change last weekend. The only thing that needs to be replaced is my right rear bearing. But the shakiness is all in the steering wheel so I don't think my back bearing is causing much of that shakiness.

Does anyone have an ideas on what could be causing this? I know I have an older car and I expect my car to shake but it shouldn't be shaking this bad. I know something is causing it.

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