Finding the Third Proportional to 111,708 and 231,192

Step by Step Solution

1. Step 1: Write the proportion equation
   111,708 : 231,192 = 231,192 : x
2. Step 2: Convert to fraction form
   111,708/231,192 = 231,192/x
3. Step 3: Cross multiply
   111,708x = 231,192 × 231,192
4. Step 4: Simplify right side
   111,708x = 53,449,740,864
5. Step 5: Solve for x
   x = 53,449,740,864/111,708
6. Step 6: Final answer
   x = 478,477.29