Finding the Third Proportional to 296.86 and 637.59

Step by Step Solution

1. Step 1: Write the proportion equation
   296.86 : 637.59 = 637.59 : x
2. Step 2: Convert to fraction form
   296.86/637.59 = 637.59/x
3. Step 3: Cross multiply
   296.86x = 637.59 × 637.59
4. Step 4: Simplify right side
   296.86x = 406,525.79
5. Step 5: Solve for x
   x = 406,525.79/296.86
6. Step 6: Final answer
   x = 1,369.42