Finding the Third Proportional to 105.03 and 218.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.03 : 218.56 = 218.56 : x
2. Step 2: Convert to fraction form
   105.03/218.56 = 218.56/x
3. Step 3: Cross multiply
   105.03x = 218.56 × 218.56
4. Step 4: Simplify right side
   105.03x = 47,769.57
5. Step 5: Solve for x
   x = 47,769.57/105.03
6. Step 6: Final answer
   x = 454.81