Finding the Third Proportional to 40,265 and 88,496

Step by Step Solution

1. Step 1: Write the proportion equation
   40,265 : 88,496 = 88,496 : x
2. Step 2: Convert to fraction form
   40,265/88,496 = 88,496/x
3. Step 3: Cross multiply
   40,265x = 88,496 × 88,496
4. Step 4: Simplify right side
   40,265x = 7,831,542,016
5. Step 5: Solve for x
   x = 7,831,542,016/40,265
6. Step 6: Final answer
   x = 194,499.99