Finding the Third Proportional to 243.38 and 375.38

Step by Step Solution

1. Step 1: Write the proportion equation
   243.38 : 375.38 = 375.38 : x
2. Step 2: Convert to fraction form
   243.38/375.38 = 375.38/x
3. Step 3: Cross multiply
   243.38x = 375.38 × 375.38
4. Step 4: Simplify right side
   243.38x = 140,906.39
5. Step 5: Solve for x
   x = 140,906.39/243.38
6. Step 6: Final answer
   x = 578.97