Gkmaia, just some back of the envelope calculations:
- 180 Vp into 50 ohms is 3.6 A
- 180 V x 3.6 A is 648 W
- 180 Vp is 127.3 VRMS for a sine wave
- a linear amplifier's output devices dissipate the greatest power into a resistive load when the DC output voltage is half of the power supply rail voltage, in this case at least 180 V / 2 or 90 V. The dissipation at this point is 90 V x 1.8 A = 162 W. If the load is reactive (inductive or capacitive) or less than 50 ohms, the dissipation will be higher.
An amplifier with these chc's is indeed possible, but it's a non-trivial bit of engineering. It can be simplified if the current and thus power can be reduced. Is there a particular load you'd like to drive? Also, is the output impedance there for back matching or does it have to drive a particular impedance or

Can you accept a balanced ungrounded output? If so, then Vovk_Z's suggestion to use LM3886 could do, if two were bridged.
About 20 years ago I needed +/- 90 V, 100 KHz amplifiers and made up a few using some hybrids from:
https://www.apexanalog.com/ I recall they were in the low USD 100 range but it was faster and cheaper to use them than to design, layout and build some from discretes.