Finding the Third Proportional to 81,892 and 173,626

Step by Step Solution

1. Step 1: Write the proportion equation
   81,892 : 173,626 = 173,626 : x
2. Step 2: Convert to fraction form
   81,892/173,626 = 173,626/x
3. Step 3: Cross multiply
   81,892x = 173,626 × 173,626
4. Step 4: Simplify right side
   81,892x = 30,145,987,876
5. Step 5: Solve for x
   x = 30,145,987,876/81,892
6. Step 6: Final answer
   x = 368,118.84