Finding the Third Proportional to 105,198 and 229,674

Step by Step Solution

1. Step 1: Write the proportion equation
   105,198 : 229,674 = 229,674 : x
2. Step 2: Convert to fraction form
   105,198/229,674 = 229,674/x
3. Step 3: Cross multiply
   105,198x = 229,674 × 229,674
4. Step 4: Simplify right side
   105,198x = 52,750,146,276
5. Step 5: Solve for x
   x = 52,750,146,276/105,198
6. Step 6: Final answer
   x = 501,436.78