Finding the Third Proportional to 99.98 and 217.69

Step by Step Solution

1. Step 1: Write the proportion equation
   99.98 : 217.69 = 217.69 : x
2. Step 2: Convert to fraction form
   99.98/217.69 = 217.69/x
3. Step 3: Cross multiply
   99.98x = 217.69 × 217.69
4. Step 4: Simplify right side
   99.98x = 47,387.85
5. Step 5: Solve for x
   x = 47,387.85/99.98
6. Step 6: Final answer
   x = 473.95