Finding the Third Proportional to 100.44 and 213.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.44 : 213.69 = 213.69 : x
2. Step 2: Convert to fraction form
   100.44/213.69 = 213.69/x
3. Step 3: Cross multiply
   100.44x = 213.69 × 213.69
4. Step 4: Simplify right side
   100.44x = 45,662.35
5. Step 5: Solve for x
   x = 45,662.35/100.44
6. Step 6: Final answer
   x = 454.63