Finding the Third Proportional to 459.42 and 680.27

Step by Step Solution

1. Step 1: Write the proportion equation
   459.42 : 680.27 = 680.27 : x
2. Step 2: Convert to fraction form
   459.42/680.27 = 680.27/x
3. Step 3: Cross multiply
   459.42x = 680.27 × 680.27
4. Step 4: Simplify right side
   459.42x = 462,771.95
5. Step 5: Solve for x
   x = 462,771.95/459.42
6. Step 6: Final answer
   x = 1,007.29