Finding the Third Proportional to 49,384 and 102,864

Step by Step Solution

1. Step 1: Write the proportion equation
   49,384 : 102,864 = 102,864 : x
2. Step 2: Convert to fraction form
   49,384/102,864 = 102,864/x
3. Step 3: Cross multiply
   49,384x = 102,864 × 102,864
4. Step 4: Simplify right side
   49,384x = 10,581,002,496
5. Step 5: Solve for x
   x = 10,581,002,496/49,384
6. Step 6: Final answer
   x = 214,259.73