Finding the Third Proportional to 82,683 and 131,096

Step by Step Solution

1. Step 1: Write the proportion equation
   82,683 : 131,096 = 131,096 : x
2. Step 2: Convert to fraction form
   82,683/131,096 = 131,096/x
3. Step 3: Cross multiply
   82,683x = 131,096 × 131,096
4. Step 4: Simplify right side
   82,683x = 17,186,161,216
5. Step 5: Solve for x
   x = 17,186,161,216/82,683
6. Step 6: Final answer
   x = 207,856.04