Finding the Third Proportional to 408.50 and 462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   408.50 : 462.50 = 462.50 : x
2. Step 2: Convert to fraction form
   408.50/462.50 = 462.50/x
3. Step 3: Cross multiply
   408.50x = 462.50 × 462.50
4. Step 4: Simplify right side
   408.50x = 213,906.25
5. Step 5: Solve for x
   x = 213,906.25/408.50
6. Step 6: Final answer
   x = 523.64