Finding the Third Proportional to 105,176 and 229,626

Step by Step Solution

1. Step 1: Write the proportion equation
   105,176 : 229,626 = 229,626 : x
2. Step 2: Convert to fraction form
   105,176/229,626 = 229,626/x
3. Step 3: Cross multiply
   105,176x = 229,626 × 229,626
4. Step 4: Simplify right side
   105,176x = 52,728,099,876
5. Step 5: Solve for x
   x = 52,728,099,876/105,176
6. Step 6: Final answer
   x = 501,332.05