Finding the Third Proportional to 99,972 and 215,496

Step by Step Solution

1. Step 1: Write the proportion equation
   99,972 : 215,496 = 215,496 : x
2. Step 2: Convert to fraction form
   99,972/215,496 = 215,496/x
3. Step 3: Cross multiply
   99,972x = 215,496 × 215,496
4. Step 4: Simplify right side
   99,972x = 46,438,526,016
5. Step 5: Solve for x
   x = 46,438,526,016/99,972
6. Step 6: Final answer
   x = 464,515.32