Finding the Third Proportional to 50,784 and 109,216

Step by Step Solution

1. Step 1: Write the proportion equation
   50,784 : 109,216 = 109,216 : x
2. Step 2: Convert to fraction form
   50,784/109,216 = 109,216/x
3. Step 3: Cross multiply
   50,784x = 109,216 × 109,216
4. Step 4: Simplify right side
   50,784x = 11,928,134,656
5. Step 5: Solve for x
   x = 11,928,134,656/50,784
6. Step 6: Final answer
   x = 234,879.78