Finding the Third Proportional to 105,234 and 230,842

Step by Step Solution

1. Step 1: Write the proportion equation
   105,234 : 230,842 = 230,842 : x
2. Step 2: Convert to fraction form
   105,234/230,842 = 230,842/x
3. Step 3: Cross multiply
   105,234x = 230,842 × 230,842
4. Step 4: Simplify right side
   105,234x = 53,288,028,964
5. Step 5: Solve for x
   x = 53,288,028,964/105,234
6. Step 6: Final answer
   x = 506,376.54