Finding the Third Proportional to 99,976 and 215,504

Step by Step Solution

1. Step 1: Write the proportion equation
   99,976 : 215,504 = 215,504 : x
2. Step 2: Convert to fraction form
   99,976/215,504 = 215,504/x
3. Step 3: Cross multiply
   99,976x = 215,504 × 215,504
4. Step 4: Simplify right side
   99,976x = 46,441,974,016
5. Step 5: Solve for x
   x = 46,441,974,016/99,976
6. Step 6: Final answer
   x = 464,531.23