Finding the Third Proportional to 82,789 and 131,149

Step by Step Solution

1. Step 1: Write the proportion equation
   82,789 : 131,149 = 131,149 : x
2. Step 2: Convert to fraction form
   82,789/131,149 = 131,149/x
3. Step 3: Cross multiply
   82,789x = 131,149 × 131,149
4. Step 4: Simplify right side
   82,789x = 17,200,060,201
5. Step 5: Solve for x
   x = 17,200,060,201/82,789
6. Step 6: Final answer
   x = 207,757.80