Finding the Third Proportional to 451.25 and 659.69

Step by Step Solution

1. Step 1: Write the proportion equation
   451.25 : 659.69 = 659.69 : x
2. Step 2: Convert to fraction form
   451.25/659.69 = 659.69/x
3. Step 3: Cross multiply
   451.25x = 659.69 × 659.69
4. Step 4: Simplify right side
   451.25x = 435,187.60
5. Step 5: Solve for x
   x = 435,187.60/451.25
6. Step 6: Final answer
   x = 964.40