Finding the Third Proportional to 105,717 and 220,182

Step by Step Solution

1. Step 1: Write the proportion equation
   105,717 : 220,182 = 220,182 : x
2. Step 2: Convert to fraction form
   105,717/220,182 = 220,182/x
3. Step 3: Cross multiply
   105,717x = 220,182 × 220,182
4. Step 4: Simplify right side
   105,717x = 48,480,113,124
5. Step 5: Solve for x
   x = 48,480,113,124/105,717
6. Step 6: Final answer
   x = 458,583.89