Finding the Third Proportional to 105,204 and 229,686

Step by Step Solution

1. Step 1: Write the proportion equation
   105,204 : 229,686 = 229,686 : x
2. Step 2: Convert to fraction form
   105,204/229,686 = 229,686/x
3. Step 3: Cross multiply
   105,204x = 229,686 × 229,686
4. Step 4: Simplify right side
   105,204x = 52,755,658,596
5. Step 5: Solve for x
   x = 52,755,658,596/105,204
6. Step 6: Final answer
   x = 501,460.58