Finding the Third Proportional to 459.50 and 506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   459.50 : 506.50 = 506.50 : x
2. Step 2: Convert to fraction form
   459.50/506.50 = 506.50/x
3. Step 3: Cross multiply
   459.50x = 506.50 × 506.50
4. Step 4: Simplify right side
   459.50x = 256,542.25
5. Step 5: Solve for x
   x = 256,542.25/459.50
6. Step 6: Final answer
   x = 558.31