Finding the Third Proportional to 81,917 and 173,749

Step by Step Solution

1. Step 1: Write the proportion equation
   81,917 : 173,749 = 173,749 : x
2. Step 2: Convert to fraction form
   81,917/173,749 = 173,749/x
3. Step 3: Cross multiply
   81,917x = 173,749 × 173,749
4. Step 4: Simplify right side
   81,917x = 30,188,715,001
5. Step 5: Solve for x
   x = 30,188,715,001/81,917
6. Step 6: Final answer
   x = 368,528.08