Finding the Third Proportional to 87,782 and 132,450

Step by Step Solution

1. Step 1: Write the proportion equation
   87,782 : 132,450 = 132,450 : x
2. Step 2: Convert to fraction form
   87,782/132,450 = 132,450/x
3. Step 3: Cross multiply
   87,782x = 132,450 × 132,450
4. Step 4: Simplify right side
   87,782x = 17,543,002,500
5. Step 5: Solve for x
   x = 17,543,002,500/87,782
6. Step 6: Final answer
   x = 199,847.38