Finding the Third Proportional to 82,716 and 131,748

Step by Step Solution

1. Step 1: Write the proportion equation
   82,716 : 131,748 = 131,748 : x
2. Step 2: Convert to fraction form
   82,716/131,748 = 131,748/x
3. Step 3: Cross multiply
   82,716x = 131,748 × 131,748
4. Step 4: Simplify right side
   82,716x = 17,357,535,504
5. Step 5: Solve for x
   x = 17,357,535,504/82,716
6. Step 6: Final answer
   x = 209,844.96