Finding the Third Proportional to 296.72 and 637.31

Step by Step Solution

1. Step 1: Write the proportion equation
   296.72 : 637.31 = 637.31 : x
2. Step 2: Convert to fraction form
   296.72/637.31 = 637.31/x
3. Step 3: Cross multiply
   296.72x = 637.31 × 637.31
4. Step 4: Simplify right side
   296.72x = 406,167.22
5. Step 5: Solve for x
   x = 406,167.22/296.72
6. Step 6: Final answer
   x = 1,368.86