Finding the Third Proportional to 99.56 and 213.47

Step by Step Solution

1. Step 1: Write the proportion equation
   99.56 : 213.47 = 213.47 : x
2. Step 2: Convert to fraction form
   99.56/213.47 = 213.47/x
3. Step 3: Cross multiply
   99.56x = 213.47 × 213.47
4. Step 4: Simplify right side
   99.56x = 45,568.91
5. Step 5: Solve for x
   x = 45,568.91/99.56
6. Step 6: Final answer
   x = 457.69