Finding the Third Proportional to 103.15 and 217.69

Step by Step Solution

1. Step 1: Write the proportion equation
   103.15 : 217.69 = 217.69 : x
2. Step 2: Convert to fraction form
   103.15/217.69 = 217.69/x
3. Step 3: Cross multiply
   103.15x = 217.69 × 217.69
4. Step 4: Simplify right side
   103.15x = 47,387.85
5. Step 5: Solve for x
   x = 47,387.85/103.15
6. Step 6: Final answer
   x = 459.41