Finding the Third Proportional to 102.38 and 123.38

Step by Step Solution

1. Step 1: Write the proportion equation
   102.38 : 123.38 = 123.38 : x
2. Step 2: Convert to fraction form
   102.38/123.38 = 123.38/x
3. Step 3: Cross multiply
   102.38x = 123.38 × 123.38
4. Step 4: Simplify right side
   102.38x = 15,221.39
5. Step 5: Solve for x
   x = 15,221.39/102.38
6. Step 6: Final answer
   x = 148.68