Finding the Third Proportional to 148.50 and 243.38

Step by Step Solution

1. Step 1: Write the proportion equation
   148.50 : 243.38 = 243.38 : x
2. Step 2: Convert to fraction form
   148.50/243.38 = 243.38/x
3. Step 3: Cross multiply
   148.50x = 243.38 × 243.38
4. Step 4: Simplify right side
   148.50x = 59,231.39
5. Step 5: Solve for x
   x = 59,231.39/148.50
6. Step 6: Final answer
   x = 398.86