Finding the Third Proportional to 457.13 and 667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   457.13 : 667.25 = 667.25 : x
2. Step 2: Convert to fraction form
   457.13/667.25 = 667.25/x
3. Step 3: Cross multiply
   457.13x = 667.25 × 667.25
4. Step 4: Simplify right side
   457.13x = 445,222.56
5. Step 5: Solve for x
   x = 445,222.56/457.13
6. Step 6: Final answer
   x = 973.96