Finding the Third Proportional to 49,854 and 105,864

Step by Step Solution

1. Step 1: Write the proportion equation
   49,854 : 105,864 = 105,864 : x
2. Step 2: Convert to fraction form
   49,854/105,864 = 105,864/x
3. Step 3: Cross multiply
   49,854x = 105,864 × 105,864
4. Step 4: Simplify right side
   49,854x = 11,207,186,496
5. Step 5: Solve for x
   x = 11,207,186,496/49,854
6. Step 6: Final answer
   x = 224,800.15