Finding the Third Proportional to 404.75 and 457.25

Step by Step Solution

1. Step 1: Write the proportion equation
   404.75 : 457.25 = 457.25 : x
2. Step 2: Convert to fraction form
   404.75/457.25 = 457.25/x
3. Step 3: Cross multiply
   404.75x = 457.25 × 457.25
4. Step 4: Simplify right side
   404.75x = 209,077.56
5. Step 5: Solve for x
   x = 209,077.56/404.75
6. Step 6: Final answer
   x = 516.56