Finding the Third Proportional to 92,022 and 138,496

Step by Step Solution

1. Step 1: Write the proportion equation
   92,022 : 138,496 = 138,496 : x
2. Step 2: Convert to fraction form
   92,022/138,496 = 138,496/x
3. Step 3: Cross multiply
   92,022x = 138,496 × 138,496
4. Step 4: Simplify right side
   92,022x = 19,181,142,016
5. Step 5: Solve for x
   x = 19,181,142,016/92,022
6. Step 6: Final answer
   x = 208,440.83