Finding the Third Proportional to 255.50 and 383.38

Step by Step Solution

1. Step 1: Write the proportion equation
   255.50 : 383.38 = 383.38 : x
2. Step 2: Convert to fraction form
   255.50/383.38 = 383.38/x
3. Step 3: Cross multiply
   255.50x = 383.38 × 383.38
4. Step 4: Simplify right side
   255.50x = 146,976.39
5. Step 5: Solve for x
   x = 146,976.39/255.50
6. Step 6: Final answer
   x = 575.25