Finding the Third Proportional to 123,625 and 176,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,625 : 176,617.50 = 176,617.50 : x
2. Step 2: Convert to fraction form
   123,625/176,617.50 = 176,617.50/x
3. Step 3: Cross multiply
   123,625x = 176,617.50 × 176,617.50
4. Step 4: Simplify right side
   123,625x = 31,193,741,306.25
5. Step 5: Solve for x
   x = 31,193,741,306.25/123,625
6. Step 6: Final answer
   x = 252,325.51