Finding the Third Proportional to 308.50 and 669.31

Step by Step Solution

1. Step 1: Write the proportion equation
   308.50 : 669.31 = 669.31 : x
2. Step 2: Convert to fraction form
   308.50/669.31 = 669.31/x
3. Step 3: Cross multiply
   308.50x = 669.31 × 669.31
4. Step 4: Simplify right side
   308.50x = 447,979.22
5. Step 5: Solve for x
   x = 447,979.22/308.50
6. Step 6: Final answer
   x = 1,452.12