Finding the Third Proportional to 458.86 and 661.78

Step by Step Solution

1. Step 1: Write the proportion equation
   458.86 : 661.78 = 661.78 : x
2. Step 2: Convert to fraction form
   458.86/661.78 = 661.78/x
3. Step 3: Cross multiply
   458.86x = 661.78 × 661.78
4. Step 4: Simplify right side
   458.86x = 437,954.42
5. Step 5: Solve for x
   x = 437,954.42/458.86
6. Step 6: Final answer
   x = 954.44