Finding the Third Proportional to 105,996 and 231,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,996 : 231,920 = 231,920 : x
2. Step 2: Convert to fraction form
   105,996/231,920 = 231,920/x
3. Step 3: Cross multiply
   105,996x = 231,920 × 231,920
4. Step 4: Simplify right side
   105,996x = 53,786,886,400
5. Step 5: Solve for x
   x = 53,786,886,400/105,996
6. Step 6: Final answer
   x = 507,442.61