Finding the Third Proportional to 111,409 and 231,998

Step by Step Solution

1. Step 1: Write the proportion equation
   111,409 : 231,998 = 231,998 : x
2. Step 2: Convert to fraction form
   111,409/231,998 = 231,998/x
3. Step 3: Cross multiply
   111,409x = 231,998 × 231,998
4. Step 4: Simplify right side
   111,409x = 53,823,072,004
5. Step 5: Solve for x
   x = 53,823,072,004/111,409
6. Step 6: Final answer
   x = 483,112.42