Finding the Third Proportional to 459.56 and 613.27

Step by Step Solution

1. Step 1: Write the proportion equation
   459.56 : 613.27 = 613.27 : x
2. Step 2: Convert to fraction form
   459.56/613.27 = 613.27/x
3. Step 3: Cross multiply
   459.56x = 613.27 × 613.27
4. Step 4: Simplify right side
   459.56x = 376,094.73
5. Step 5: Solve for x
   x = 376,094.73/459.56
6. Step 6: Final answer
   x = 818.38