Finding the Third Proportional to 100.50 and 213.94

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 213.94 = 213.94 : x
2. Step 2: Convert to fraction form
   100.50/213.94 = 213.94/x
3. Step 3: Cross multiply
   100.50x = 213.94 × 213.94
4. Step 4: Simplify right side
   100.50x = 45,769.25
5. Step 5: Solve for x
   x = 45,769.25/100.50
6. Step 6: Final answer
   x = 455.42