Finding the Third Proportional to 105,867 and 229,230

Step by Step Solution

1. Step 1: Write the proportion equation
   105,867 : 229,230 = 229,230 : x
2. Step 2: Convert to fraction form
   105,867/229,230 = 229,230/x
3. Step 3: Cross multiply
   105,867x = 229,230 × 229,230
4. Step 4: Simplify right side
   105,867x = 52,546,392,900
5. Step 5: Solve for x
   x = 52,546,392,900/105,867
6. Step 6: Final answer
   x = 496,343.46