Finding the Third Proportional to 448.27 and 681.78

Step by Step Solution

1. Step 1: Write the proportion equation
   448.27 : 681.78 = 681.78 : x
2. Step 2: Convert to fraction form
   448.27/681.78 = 681.78/x
3. Step 3: Cross multiply
   448.27x = 681.78 × 681.78
4. Step 4: Simplify right side
   448.27x = 464,819.01
5. Step 5: Solve for x
   x = 464,819.01/448.27
6. Step 6: Final answer
   x = 1,036.92