Finding the Third Proportional to 80,218 and 112,398

Step by Step Solution

1. Step 1: Write the proportion equation
   80,218 : 112,398 = 112,398 : x
2. Step 2: Convert to fraction form
   80,218/112,398 = 112,398/x
3. Step 3: Cross multiply
   80,218x = 112,398 × 112,398
4. Step 4: Simplify right side
   80,218x = 12,633,310,404
5. Step 5: Solve for x
   x = 12,633,310,404/80,218
6. Step 6: Final answer
   x = 157,487.23