Finding the Third Proportional to 82,852 and 131,254

Step by Step Solution

1. Step 1: Write the proportion equation
   82,852 : 131,254 = 131,254 : x
2. Step 2: Convert to fraction form
   82,852/131,254 = 131,254/x
3. Step 3: Cross multiply
   82,852x = 131,254 × 131,254
4. Step 4: Simplify right side
   82,852x = 17,227,612,516
5. Step 5: Solve for x
   x = 17,227,612,516/82,852
6. Step 6: Final answer
   x = 207,932.37