Finding the Third Proportional to 269.50 and 320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269.50 : 320.50 = 320.50 : x
2. Step 2: Convert to fraction form
   269.50/320.50 = 320.50/x
3. Step 3: Cross multiply
   269.50x = 320.50 × 320.50
4. Step 4: Simplify right side
   269.50x = 102,720.25
5. Step 5: Solve for x
   x = 102,720.25/269.50
6. Step 6: Final answer
   x = 381.15