Finding the Third Proportional to 102.38 and 154.69

Step by Step Solution

1. Step 1: Write the proportion equation
   102.38 : 154.69 = 154.69 : x
2. Step 2: Convert to fraction form
   102.38/154.69 = 154.69/x
3. Step 3: Cross multiply
   102.38x = 154.69 × 154.69
4. Step 4: Simplify right side
   102.38x = 23,928.22
5. Step 5: Solve for x
   x = 23,928.22/102.38
6. Step 6: Final answer
   x = 233.73