Finding the Third Proportional to 82,782 and 173,059

Step by Step Solution

1. Step 1: Write the proportion equation
   82,782 : 173,059 = 173,059 : x
2. Step 2: Convert to fraction form
   82,782/173,059 = 173,059/x
3. Step 3: Cross multiply
   82,782x = 173,059 × 173,059
4. Step 4: Simplify right side
   82,782x = 29,949,417,481
5. Step 5: Solve for x
   x = 29,949,417,481/82,782
6. Step 6: Final answer
   x = 361,786.59