Finding the Third Proportional to 80,932 and 102,562

Step by Step Solution

1. Step 1: Write the proportion equation
   80,932 : 102,562 = 102,562 : x
2. Step 2: Convert to fraction form
   80,932/102,562 = 102,562/x
3. Step 3: Cross multiply
   80,932x = 102,562 × 102,562
4. Step 4: Simplify right side
   80,932x = 10,518,963,844
5. Step 5: Solve for x
   x = 10,518,963,844/80,932
6. Step 6: Final answer
   x = 129,972.86