You want to place the microphone at the focal point of the reflector, but realize that this is a plastic umbrella, not a perfect parabola. So this “point” will be more of a semifocal blur. Here are 3 ways to position the mic, in decreasing order of complexity:
Point a laser at different points on the inside of the umbrella from a distance of about 20 feet directly in front of the unit. Mark where it reflects onto the shaft to find the general region of focus.
Plug the mic into a recording device, put on some headphones, and point it toward a ticking clock some distance away. Move the microphone along the shaft until you get the loudest sound.
Just take my word for it, and position the mic about 3″ from the inside surface of the umbrella.