Finding the Third Proportional to 105,591 and 229,771

Step by Step Solution

1. Step 1: Write the proportion equation
   105,591 : 229,771 = 229,771 : x
2. Step 2: Convert to fraction form
   105,591/229,771 = 229,771/x
3. Step 3: Cross multiply
   105,591x = 229,771 × 229,771
4. Step 4: Simplify right side
   105,591x = 52,794,712,441
5. Step 5: Solve for x
   x = 52,794,712,441/105,591
6. Step 6: Final answer
   x = 499,992.54