Finding the Third Proportional to 414.56 and 574.69

Step by Step Solution

1. Step 1: Write the proportion equation
   414.56 : 574.69 = 574.69 : x
2. Step 2: Convert to fraction form
   414.56/574.69 = 574.69/x
3. Step 3: Cross multiply
   414.56x = 574.69 × 574.69
4. Step 4: Simplify right side
   414.56x = 330,265.72
5. Step 5: Solve for x
   x = 330,265.72/414.56
6. Step 6: Final answer
   x = 796.66