Finding the Third Proportional to 409 and 443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409 : 443.50 = 443.50 : x
2. Step 2: Convert to fraction form
   409/443.50 = 443.50/x
3. Step 3: Cross multiply
   409x = 443.50 × 443.50
4. Step 4: Simplify right side
   409x = 196,692.25
5. Step 5: Solve for x
   x = 196,692.25/409
6. Step 6: Final answer
   x = 480.91