Finding the Third Proportional to 105,426 and 229,779

Step by Step Solution

1. Step 1: Write the proportion equation
   105,426 : 229,779 = 229,779 : x
2. Step 2: Convert to fraction form
   105,426/229,779 = 229,779/x
3. Step 3: Cross multiply
   105,426x = 229,779 × 229,779
4. Step 4: Simplify right side
   105,426x = 52,798,388,841
5. Step 5: Solve for x
   x = 52,798,388,841/105,426
6. Step 6: Final answer
   x = 500,809.94