Finding the Third Proportional to 105,696 and 229,104

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 229,104 = 229,104 : x
2. Step 2: Convert to fraction form
   105,696/229,104 = 229,104/x
3. Step 3: Cross multiply
   105,696x = 229,104 × 229,104
4. Step 4: Simplify right side
   105,696x = 52,488,642,816
5. Step 5: Solve for x
   x = 52,488,642,816/105,696
6. Step 6: Final answer
   x = 496,600.09