Finding the Third Proportional to 301.50 and 655.31

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 655.31 = 655.31 : x
2. Step 2: Convert to fraction form
   301.50/655.31 = 655.31/x
3. Step 3: Cross multiply
   301.50x = 655.31 × 655.31
4. Step 4: Simplify right side
   301.50x = 429,434.47
5. Step 5: Solve for x
   x = 429,434.47/301.50
6. Step 6: Final answer
   x = 1,424.33