Sorry, buddy, you gave an answer to a science question and did not use any math at all, so it has no value.
And your answer is absurd on the face of it. If the power density is so very tiny, then what's the point?
The energy from cosmic rays is a tiny, tiny, tiny fraction of the energy from visible light. If your claim were true, it would be more effective simply to set up a solar power installation on the ground, even if it only got sun 1% of the time.
Heck, if there's more energy from cosmic rays, why wouldn't we just harness those as a power source?
Finally, if the microwaves "just spread as all waves do" then the power would expand in a sphere, just like a radio antenna, and nearly none of it would go to the receiver.
However, in 1960, we came up with a device called a "laser" and this technology allows us to focus a beam of electromagnetic radiation into a near-perfect point.
No claps.
You know, I know all this material like the back of my hand, and yet every time I write an article like this I go through a couple of dozen articles to get the right numbers and to check I'm right and didn't make some mistake.
You should consider doing this.