Finding the Third Proportional to 87,524 and 123,854

Step by Step Solution

1. Step 1: Write the proportion equation
   87,524 : 123,854 = 123,854 : x
2. Step 2: Convert to fraction form
   87,524/123,854 = 123,854/x
3. Step 3: Cross multiply
   87,524x = 123,854 × 123,854
4. Step 4: Simplify right side
   87,524x = 15,339,813,316
5. Step 5: Solve for x
   x = 15,339,813,316/87,524
6. Step 6: Final answer
   x = 175,264.08