Finding the Third Proportional to 82,838 and 131,745

Step by Step Solution

1. Step 1: Write the proportion equation
   82,838 : 131,745 = 131,745 : x
2. Step 2: Convert to fraction form
   82,838/131,745 = 131,745/x
3. Step 3: Cross multiply
   82,838x = 131,745 × 131,745
4. Step 4: Simplify right side
   82,838x = 17,356,745,025
5. Step 5: Solve for x
   x = 17,356,745,025/82,838
6. Step 6: Final answer
   x = 209,526.37