Finding the Third Proportional to 233.75 and 375.38

Step by Step Solution

1. Step 1: Write the proportion equation
   233.75 : 375.38 = 375.38 : x
2. Step 2: Convert to fraction form
   233.75/375.38 = 375.38/x
3. Step 3: Cross multiply
   233.75x = 375.38 × 375.38
4. Step 4: Simplify right side
   233.75x = 140,906.39
5. Step 5: Solve for x
   x = 140,906.39/233.75
6. Step 6: Final answer
   x = 602.81