Finding the Third Proportional to 82,780 and 131,165

Step by Step Solution

1. Step 1: Write the proportion equation
   82,780 : 131,165 = 131,165 : x
2. Step 2: Convert to fraction form
   82,780/131,165 = 131,165/x
3. Step 3: Cross multiply
   82,780x = 131,165 × 131,165
4. Step 4: Simplify right side
   82,780x = 17,204,257,225
5. Step 5: Solve for x
   x = 17,204,257,225/82,780
6. Step 6: Final answer
   x = 207,831.09