Let's say the number we are trying to find is x. We know that the number is multiplied by one-third of itself to get 192, so we can write the equation:
x * (1/3) * x = 192
Simplifying the left side of the equation, we get:
(1/3) * x^2 = 192
Multiplying both sides of the equation by 3, we get:
x^2 = 576
Taking the square root of both sides of the equation, we get:
x = 24
Therefore, the number we are looking for is 24.