Finding the Third Proportional to 54,204 and 111,864

Step by Step Solution

1. Step 1: Write the proportion equation
   54,204 : 111,864 = 111,864 : x
2. Step 2: Convert to fraction form
   54,204/111,864 = 111,864/x
3. Step 3: Cross multiply
   54,204x = 111,864 × 111,864
4. Step 4: Simplify right side
   54,204x = 12,513,554,496
5. Step 5: Solve for x
   x = 12,513,554,496/54,204
6. Step 6: Final answer
   x = 230,860.35