Finding the Third Proportional to 82,782 and 131,139

Step by Step Solution

1. Step 1: Write the proportion equation
   82,782 : 131,139 = 131,139 : x
2. Step 2: Convert to fraction form
   82,782/131,139 = 131,139/x
3. Step 3: Cross multiply
   82,782x = 131,139 × 131,139
4. Step 4: Simplify right side
   82,782x = 17,197,437,321
5. Step 5: Solve for x
   x = 17,197,437,321/82,782
6. Step 6: Final answer
   x = 207,743.68