Finding the Third Proportional to 217.61 and 456.81

Step by Step Solution

1. Step 1: Write the proportion equation
   217.61 : 456.81 = 456.81 : x
2. Step 2: Convert to fraction form
   217.61/456.81 = 456.81/x
3. Step 3: Cross multiply
   217.61x = 456.81 × 456.81
4. Step 4: Simplify right side
   217.61x = 208,676.77
5. Step 5: Solve for x
   x = 208,676.77/217.61
6. Step 6: Final answer
   x = 958.96