Finding the Third Proportional to 99.50 and 215.47

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 215.47 = 215.47 : x
2. Step 2: Convert to fraction form
   99.50/215.47 = 215.47/x
3. Step 3: Cross multiply
   99.50x = 215.47 × 215.47
4. Step 4: Simplify right side
   99.50x = 46,426.78
5. Step 5: Solve for x
   x = 46,426.78/99.50
6. Step 6: Final answer
   x = 466.60