Your right. I got a littly sloppy. I use the formula Horizon in miles = 1.17 * sqr (height in feet) which gives 117 miles, in rough agreement with your figure. A light on top of a 200 ft hotel would add an additional 1.17 * sqr(200) = 16.5 miles to the range 132.5 (a little more with your formula). And a more careful measurement of the distance shows it to be 110 miles, not 120.

So I guess Honolulu's lights would be directly visible.