Finding the Third Proportional to 413.50 and 476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413.50 : 476.50 = 476.50 : x
2. Step 2: Convert to fraction form
   413.50/476.50 = 476.50/x
3. Step 3: Cross multiply
   413.50x = 476.50 × 476.50
4. Step 4: Simplify right side
   413.50x = 227,052.25
5. Step 5: Solve for x
   x = 227,052.25/413.50
6. Step 6: Final answer
   x = 549.10