Finding the Third Proportional to 269.50 and 416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269.50 : 416.50 = 416.50 : x
2. Step 2: Convert to fraction form
   269.50/416.50 = 416.50/x
3. Step 3: Cross multiply
   269.50x = 416.50 × 416.50
4. Step 4: Simplify right side
   269.50x = 173,472.25
5. Step 5: Solve for x
   x = 173,472.25/269.50
6. Step 6: Final answer
   x = 643.68