Finding the Third Proportional to 123,052 and 175,965

Step by Step Solution

1. Step 1: Write the proportion equation
   123,052 : 175,965 = 175,965 : x
2. Step 2: Convert to fraction form
   123,052/175,965 = 175,965/x
3. Step 3: Cross multiply
   123,052x = 175,965 × 175,965
4. Step 4: Simplify right side
   123,052x = 30,963,681,225
5. Step 5: Solve for x
   x = 30,963,681,225/123,052
6. Step 6: Final answer
   x = 251,630.87