Finding the Third Proportional to 82,782 and 173,058

Step by Step Solution

1. Step 1: Write the proportion equation
   82,782 : 173,058 = 173,058 : x
2. Step 2: Convert to fraction form
   82,782/173,058 = 173,058/x
3. Step 3: Cross multiply
   82,782x = 173,058 × 173,058
4. Step 4: Simplify right side
   82,782x = 29,949,071,364
5. Step 5: Solve for x
   x = 29,949,071,364/82,782
6. Step 6: Final answer
   x = 361,782.41