Finding the Third Proportional to 100.69 and 217.88

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 217.88 = 217.88 : x
2. Step 2: Convert to fraction form
   100.69/217.88 = 217.88/x
3. Step 3: Cross multiply
   100.69x = 217.88 × 217.88
4. Step 4: Simplify right side
   100.69x = 47,469.52
5. Step 5: Solve for x
   x = 47,469.52/100.69
6. Step 6: Final answer
   x = 471.45