Finding the Third Proportional to 100.50 and 217.38

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 217.38 = 217.38 : x
2. Step 2: Convert to fraction form
   100.50/217.38 = 217.38/x
3. Step 3: Cross multiply
   100.50x = 217.38 × 217.38
4. Step 4: Simplify right side
   100.50x = 47,251.89
5. Step 5: Solve for x
   x = 47,251.89/100.50
6. Step 6: Final answer
   x = 470.17