Finding the Third Proportional to 54,780 and 117,864

Step by Step Solution

1. Step 1: Write the proportion equation
   54,780 : 117,864 = 117,864 : x
2. Step 2: Convert to fraction form
   54,780/117,864 = 117,864/x
3. Step 3: Cross multiply
   54,780x = 117,864 × 117,864
4. Step 4: Simplify right side
   54,780x = 13,891,922,496
5. Step 5: Solve for x
   x = 13,891,922,496/54,780
6. Step 6: Final answer
   x = 253,594.79