Three 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.