Finding the Third Proportional to 100.25 and 216.88

Step by Step Solution

1. Step 1: Write the proportion equation
   100.25 : 216.88 = 216.88 : x
2. Step 2: Convert to fraction form
   100.25/216.88 = 216.88/x
3. Step 3: Cross multiply
   100.25x = 216.88 × 216.88
4. Step 4: Simplify right side
   100.25x = 47,034.77
5. Step 5: Solve for x
   x = 47,034.77/100.25
6. Step 6: Final answer
   x = 469.17