Finding the Third Proportional to 105,401 and 227,626

Step by Step Solution

1. Step 1: Write the proportion equation
   105,401 : 227,626 = 227,626 : x
2. Step 2: Convert to fraction form
   105,401/227,626 = 227,626/x
3. Step 3: Cross multiply
   105,401x = 227,626 × 227,626
4. Step 4: Simplify right side
   105,401x = 51,813,595,876
5. Step 5: Solve for x
   x = 51,813,595,876/105,401
6. Step 6: Final answer
   x = 491,585.43