Finding the Third Proportional to 72,847 and 112,505

Step by Step Solution

1. Step 1: Write the proportion equation
   72,847 : 112,505 = 112,505 : x
2. Step 2: Convert to fraction form
   72,847/112,505 = 112,505/x
3. Step 3: Cross multiply
   72,847x = 112,505 × 112,505
4. Step 4: Simplify right side
   72,847x = 12,657,375,025
5. Step 5: Solve for x
   x = 12,657,375,025/72,847
6. Step 6: Final answer
   x = 173,752.87