Finding the Third Proportional to 105,600 and 219,906

Step by Step Solution

1. Step 1: Write the proportion equation
   105,600 : 219,906 = 219,906 : x
2. Step 2: Convert to fraction form
   105,600/219,906 = 219,906/x
3. Step 3: Cross multiply
   105,600x = 219,906 × 219,906
4. Step 4: Simplify right side
   105,600x = 48,358,648,836
5. Step 5: Solve for x
   x = 48,358,648,836/105,600
6. Step 6: Final answer
   x = 457,941.75