Finding the Third Proportional to 82,780 and 173,055

Step by Step Solution

1. Step 1: Write the proportion equation
   82,780 : 173,055 = 173,055 : x
2. Step 2: Convert to fraction form
   82,780/173,055 = 173,055/x
3. Step 3: Cross multiply
   82,780x = 173,055 × 173,055
4. Step 4: Simplify right side
   82,780x = 29,948,033,025
5. Step 5: Solve for x
   x = 29,948,033,025/82,780
6. Step 6: Final answer
   x = 361,778.61