Finding the Third Proportional to 255.38 and 379.31

Step by Step Solution

1. Step 1: Write the proportion equation
   255.38 : 379.31 = 379.31 : x
2. Step 2: Convert to fraction form
   255.38/379.31 = 379.31/x
3. Step 3: Cross multiply
   255.38x = 379.31 × 379.31
4. Step 4: Simplify right side
   255.38x = 143,877.97
5. Step 5: Solve for x
   x = 143,877.97/255.38
6. Step 6: Final answer
   x = 563.40