Finding the Third Proportional to 105,783 and 220,314

Step by Step Solution

1. Step 1: Write the proportion equation
   105,783 : 220,314 = 220,314 : x
2. Step 2: Convert to fraction form
   105,783/220,314 = 220,314/x
3. Step 3: Cross multiply
   105,783x = 220,314 × 220,314
4. Step 4: Simplify right side
   105,783x = 48,538,258,596
5. Step 5: Solve for x
   x = 48,538,258,596/105,783
6. Step 6: Final answer
   x = 458,847.44