Finding the Third Proportional to 105,579 and 229,747

Step by Step Solution

1. Step 1: Write the proportion equation
   105,579 : 229,747 = 229,747 : x
2. Step 2: Convert to fraction form
   105,579/229,747 = 229,747/x
3. Step 3: Cross multiply
   105,579x = 229,747 × 229,747
4. Step 4: Simplify right side
   105,579x = 52,783,684,009
5. Step 5: Solve for x
   x = 52,783,684,009/105,579
6. Step 6: Final answer
   x = 499,944.91