Finding the Third Proportional to 105,674 and 220,078

Step by Step Solution

1. Step 1: Write the proportion equation
   105,674 : 220,078 = 220,078 : x
2. Step 2: Convert to fraction form
   105,674/220,078 = 220,078/x
3. Step 3: Cross multiply
   105,674x = 220,078 × 220,078
4. Step 4: Simplify right side
   105,674x = 48,434,326,084
5. Step 5: Solve for x
   x = 48,434,326,084/105,674
6. Step 6: Final answer
   x = 458,337.21