Finding the Third Proportional to 105,568 and 231,872

Step by Step Solution

1. Step 1: Write the proportion equation
   105,568 : 231,872 = 231,872 : x
2. Step 2: Convert to fraction form
   105,568/231,872 = 231,872/x
3. Step 3: Cross multiply
   105,568x = 231,872 × 231,872
4. Step 4: Simplify right side
   105,568x = 53,764,624,384
5. Step 5: Solve for x
   x = 53,764,624,384/105,568
6. Step 6: Final answer
   x = 509,289.03