Finding the Third Proportional to 105.89 and 221.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.89 : 221.63 = 221.63 : x
2. Step 2: Convert to fraction form
   105.89/221.63 = 221.63/x
3. Step 3: Cross multiply
   105.89x = 221.63 × 221.63
4. Step 4: Simplify right side
   105.89x = 49,117.64
5. Step 5: Solve for x
   x = 49,117.64/105.89
6. Step 6: Final answer
   x = 463.85