Finding the Third Proportional to 111,408 and 231,996

Step by Step Solution

1. Step 1: Write the proportion equation
   111,408 : 231,996 = 231,996 : x
2. Step 2: Convert to fraction form
   111,408/231,996 = 231,996/x
3. Step 3: Cross multiply
   111,408x = 231,996 × 231,996
4. Step 4: Simplify right side
   111,408x = 53,822,144,016
5. Step 5: Solve for x
   x = 53,822,144,016/111,408
6. Step 6: Final answer
   x = 483,108.43