Finding the Third Proportional to 599.43 and 680.59

Step by Step Solution

1. Step 1: Write the proportion equation
   599.43 : 680.59 = 680.59 : x
2. Step 2: Convert to fraction form
   599.43/680.59 = 680.59/x
3. Step 3: Cross multiply
   599.43x = 680.59 × 680.59
4. Step 4: Simplify right side
   599.43x = 463,202.54
5. Step 5: Solve for x
   x = 463,202.54/599.43
6. Step 6: Final answer
   x = 772.74