Finding the Third Proportional to 307.69 and 655.31

Step by Step Solution

1. Step 1: Write the proportion equation
   307.69 : 655.31 = 655.31 : x
2. Step 2: Convert to fraction form
   307.69/655.31 = 655.31/x
3. Step 3: Cross multiply
   307.69x = 655.31 × 655.31
4. Step 4: Simplify right side
   307.69x = 429,434.47
5. Step 5: Solve for x
   x = 429,434.47/307.69
6. Step 6: Final answer
   x = 1,395.68