Finding the Third Proportional to 105,636 and 219,984

Step by Step Solution

1. Step 1: Write the proportion equation
   105,636 : 219,984 = 219,984 : x
2. Step 2: Convert to fraction form
   105,636/219,984 = 219,984/x
3. Step 3: Cross multiply
   105,636x = 219,984 × 219,984
4. Step 4: Simplify right side
   105,636x = 48,392,960,256
5. Step 5: Solve for x
   x = 48,392,960,256/105,636
6. Step 6: Final answer
   x = 458,110.50