Finding the Third Proportional to 459.56 and 711.56

Step by Step Solution

1. Step 1: Write the proportion equation
   459.56 : 711.56 = 711.56 : x
2. Step 2: Convert to fraction form
   459.56/711.56 = 711.56/x
3. Step 3: Cross multiply
   459.56x = 711.56 × 711.56
4. Step 4: Simplify right side
   459.56x = 506,321.19
5. Step 5: Solve for x
   x = 506,321.19/459.56
6. Step 6: Final answer
   x = 1,101.75