Finding the Third Proportional to 99,304 and 216,458

Step by Step Solution

1. Step 1: Write the proportion equation
   99,304 : 216,458 = 216,458 : x
2. Step 2: Convert to fraction form
   99,304/216,458 = 216,458/x
3. Step 3: Cross multiply
   99,304x = 216,458 × 216,458
4. Step 4: Simplify right side
   99,304x = 46,854,065,764
5. Step 5: Solve for x
   x = 46,854,065,764/99,304
6. Step 6: Final answer
   x = 471,824.56