Finding the Third Proportional to 105,210 and 229,698

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 229,698 = 229,698 : x
2. Step 2: Convert to fraction form
   105,210/229,698 = 229,698/x
3. Step 3: Cross multiply
   105,210x = 229,698 × 229,698
4. Step 4: Simplify right side
   105,210x = 52,761,171,204
5. Step 5: Solve for x
   x = 52,761,171,204/105,210
6. Step 6: Final answer
   x = 501,484.38