Finding the Third Proportional to 105,702 and 229,116

Step by Step Solution

1. Step 1: Write the proportion equation
   105,702 : 229,116 = 229,116 : x
2. Step 2: Convert to fraction form
   105,702/229,116 = 229,116/x
3. Step 3: Cross multiply
   105,702x = 229,116 × 229,116
4. Step 4: Simplify right side
   105,702x = 52,494,141,456
5. Step 5: Solve for x
   x = 52,494,141,456/105,702
6. Step 6: Final answer
   x = 496,623.92