Finding the Third Proportional to 449.72 and 697.78

Step by Step Solution

1. Step 1: Write the proportion equation
   449.72 : 697.78 = 697.78 : x
2. Step 2: Convert to fraction form
   449.72/697.78 = 697.78/x
3. Step 3: Cross multiply
   449.72x = 697.78 × 697.78
4. Step 4: Simplify right side
   449.72x = 486,898.67
5. Step 5: Solve for x
   x = 486,898.67/449.72
6. Step 6: Final answer
   x = 1,082.67