Finding the Third Proportional to 105.05 and 218.53

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 218.53 = 218.53 : x
2. Step 2: Convert to fraction form
   105.05/218.53 = 218.53/x
3. Step 3: Cross multiply
   105.05x = 218.53 × 218.53
4. Step 4: Simplify right side
   105.05x = 47,755.91
5. Step 5: Solve for x
   x = 47,755.91/105.05
6. Step 6: Final answer
   x = 454.62