Finding the Third Proportional to 99.56 and 215.16

Step by Step Solution

1. Step 1: Write the proportion equation
   99.56 : 215.16 = 215.16 : x
2. Step 2: Convert to fraction form
   99.56/215.16 = 215.16/x
3. Step 3: Cross multiply
   99.56x = 215.16 × 215.16
4. Step 4: Simplify right side
   99.56x = 46,292.21
5. Step 5: Solve for x
   x = 46,292.21/99.56
6. Step 6: Final answer
   x = 464.96