Finding the Third Proportional to 322.31 and 667.69

Step by Step Solution

1. Step 1: Write the proportion equation
   322.31 : 667.69 = 667.69 : x
2. Step 2: Convert to fraction form
   322.31/667.69 = 667.69/x
3. Step 3: Cross multiply
   322.31x = 667.69 × 667.69
4. Step 4: Simplify right side
   322.31x = 445,806.60
5. Step 5: Solve for x
   x = 445,806.60/322.31
6. Step 6: Final answer
   x = 1,383.15