Finding the Third Proportional to 148.78 and 237.38

Step by Step Solution

1. Step 1: Write the proportion equation
   148.78 : 237.38 = 237.38 : x
2. Step 2: Convert to fraction form
   148.78/237.38 = 237.38/x
3. Step 3: Cross multiply
   148.78x = 237.38 × 237.38
4. Step 4: Simplify right side
   148.78x = 56,346.89
5. Step 5: Solve for x
   x = 56,346.89/148.78
6. Step 6: Final answer
   x = 378.72