Finding the Third Proportional to 81,917 and 173,746

Step by Step Solution

1. Step 1: Write the proportion equation
   81,917 : 173,746 = 173,746 : x
2. Step 2: Convert to fraction form
   81,917/173,746 = 173,746/x
3. Step 3: Cross multiply
   81,917x = 173,746 × 173,746
4. Step 4: Simplify right side
   81,917x = 30,187,672,516
5. Step 5: Solve for x
   x = 30,187,672,516/81,917
6. Step 6: Final answer
   x = 368,515.36