Finding the Third Proportional to 105.32 and 219.05

Step by Step Solution

1. Step 1: Write the proportion equation
   105.32 : 219.05 = 219.05 : x
2. Step 2: Convert to fraction form
   105.32/219.05 = 219.05/x
3. Step 3: Cross multiply
   105.32x = 219.05 × 219.05
4. Step 4: Simplify right side
   105.32x = 47,981.61
5. Step 5: Solve for x
   x = 47,981.61/105.32
6. Step 6: Final answer
   x = 455.58