Finding the Third Proportional to 92,920 and 141,564

Step by Step Solution

1. Step 1: Write the proportion equation
   92,920 : 141,564 = 141,564 : x
2. Step 2: Convert to fraction form
   92,920/141,564 = 141,564/x
3. Step 3: Cross multiply
   92,920x = 141,564 × 141,564
4. Step 4: Simplify right side
   92,920x = 20,040,366,096
5. Step 5: Solve for x
   x = 20,040,366,096/92,920
6. Step 6: Final answer
   x = 215,673.33