Finding the Third Proportional to 47,784 and 103,864

Step by Step Solution

1. Step 1: Write the proportion equation
   47,784 : 103,864 = 103,864 : x
2. Step 2: Convert to fraction form
   47,784/103,864 = 103,864/x
3. Step 3: Cross multiply
   47,784x = 103,864 × 103,864
4. Step 4: Simplify right side
   47,784x = 10,787,730,496
5. Step 5: Solve for x
   x = 10,787,730,496/47,784
6. Step 6: Final answer
   x = 225,760.31