Finding the Third Proportional to 234.50 and 255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234.50 : 255.50 = 255.50 : x
2. Step 2: Convert to fraction form
   234.50/255.50 = 255.50/x
3. Step 3: Cross multiply
   234.50x = 255.50 × 255.50
4. Step 4: Simplify right side
   234.50x = 65,280.25
5. Step 5: Solve for x
   x = 65,280.25/234.50
6. Step 6: Final answer
   x = 278.38