Finding the Third Proportional to 50,340 and 102,864

Step by Step Solution

1. Step 1: Write the proportion equation
   50,340 : 102,864 = 102,864 : x
2. Step 2: Convert to fraction form
   50,340/102,864 = 102,864/x
3. Step 3: Cross multiply
   50,340x = 102,864 × 102,864
4. Step 4: Simplify right side
   50,340x = 10,581,002,496
5. Step 5: Solve for x
   x = 10,581,002,496/50,340
6. Step 6: Final answer
   x = 210,190.75