Finding the Third Proportional to 102.38 and 217.69

Step by Step Solution

1. Step 1: Write the proportion equation
   102.38 : 217.69 = 217.69 : x
2. Step 2: Convert to fraction form
   102.38/217.69 = 217.69/x
3. Step 3: Cross multiply
   102.38x = 217.69 × 217.69
4. Step 4: Simplify right side
   102.38x = 47,387.85
5. Step 5: Solve for x
   x = 47,387.85/102.38
6. Step 6: Final answer
   x = 462.88