*distinct*3-digit positive decimal (base 10) integers

**P**,

**Q**and

**R**, having no leading zeroes and with

**P**>

**Q**>

**R**, are such that:

(i)

**P**,

**Q**and

**R**(in this order) are in geometric sequence, and:

(ii)

**P**,

**Q**and

**R**are obtained from one another by

**cyclic permutation**of digits.

Find all possible triplet(s)

**(P, Q, R)**that satisfy the given conditions.

__Note__: While the solution may be trivial with the aid of a computer program, show how to derive it without one.