Finding the Third Proportional to 50,872 and 78,864

Step by Step Solution

1. Step 1: Write the proportion equation
   50,872 : 78,864 = 78,864 : x
2. Step 2: Convert to fraction form
   50,872/78,864 = 78,864/x
3. Step 3: Cross multiply
   50,872x = 78,864 × 78,864
4. Step 4: Simplify right side
   50,872x = 6,219,530,496
5. Step 5: Solve for x
   x = 6,219,530,496/50,872
6. Step 6: Final answer
   x = 122,258.42