Finding the Third Proportional to 414.50 and 661.25

Step by Step Solution

1. Step 1: Write the proportion equation
   414.50 : 661.25 = 661.25 : x
2. Step 2: Convert to fraction form
   414.50/661.25 = 661.25/x
3. Step 3: Cross multiply
   414.50x = 661.25 × 661.25
4. Step 4: Simplify right side
   414.50x = 437,251.56
5. Step 5: Solve for x
   x = 437,251.56/414.50
6. Step 6: Final answer
   x = 1,054.89