Finding the Third Proportional to 105,164 and 229,359

Step by Step Solution

1. Step 1: Write the proportion equation
   105,164 : 229,359 = 229,359 : x
2. Step 2: Convert to fraction form
   105,164/229,359 = 229,359/x
3. Step 3: Cross multiply
   105,164x = 229,359 × 229,359
4. Step 4: Simplify right side
   105,164x = 52,605,550,881
5. Step 5: Solve for x
   x = 52,605,550,881/105,164
6. Step 6: Final answer
   x = 500,223.94