Finding the Third Proportional to 49,816 and 105,356

Step by Step Solution

1. Step 1: Write the proportion equation
   49,816 : 105,356 = 105,356 : x
2. Step 2: Convert to fraction form
   49,816/105,356 = 105,356/x
3. Step 3: Cross multiply
   49,816x = 105,356 × 105,356
4. Step 4: Simplify right side
   49,816x = 11,099,886,736
5. Step 5: Solve for x
   x = 11,099,886,736/49,816
6. Step 6: Final answer
   x = 222,817.70