Finding the Third Proportional to 105,574 and 229,738

Step by Step Solution

1. Step 1: Write the proportion equation
   105,574 : 229,738 = 229,738 : x
2. Step 2: Convert to fraction form
   105,574/229,738 = 229,738/x
3. Step 3: Cross multiply
   105,574x = 229,738 × 229,738
4. Step 4: Simplify right side
   105,574x = 52,779,548,644
5. Step 5: Solve for x
   x = 52,779,548,644/105,574
6. Step 6: Final answer
   x = 499,929.42