Finding the Third Proportional to 105,930 and 231,822

Step by Step Solution

1. Step 1: Write the proportion equation
   105,930 : 231,822 = 231,822 : x
2. Step 2: Convert to fraction form
   105,930/231,822 = 231,822/x
3. Step 3: Cross multiply
   105,930x = 231,822 × 231,822
4. Step 4: Simplify right side
   105,930x = 53,741,439,684
5. Step 5: Solve for x
   x = 53,741,439,684/105,930
6. Step 6: Final answer
   x = 507,329.74