Finding the Third Proportional to 71,552 and 113,468

Step by Step Solution

1. Step 1: Write the proportion equation
   71,552 : 113,468 = 113,468 : x
2. Step 2: Convert to fraction form
   71,552/113,468 = 113,468/x
3. Step 3: Cross multiply
   71,552x = 113,468 × 113,468
4. Step 4: Simplify right side
   71,552x = 12,874,987,024
5. Step 5: Solve for x
   x = 12,874,987,024/71,552
6. Step 6: Final answer
   x = 179,938.88