Finding the Third Proportional to 88,092 and 155,496

Step by Step Solution

1. Step 1: Write the proportion equation
   88,092 : 155,496 = 155,496 : x
2. Step 2: Convert to fraction form
   88,092/155,496 = 155,496/x
3. Step 3: Cross multiply
   88,092x = 155,496 × 155,496
4. Step 4: Simplify right side
   88,092x = 24,179,006,016
5. Step 5: Solve for x
   x = 24,179,006,016/88,092
6. Step 6: Final answer
   x = 274,474.48