Finding the Third Proportional to 49,960 and 105,496

Step by Step Solution

1. Step 1: Write the proportion equation
   49,960 : 105,496 = 105,496 : x
2. Step 2: Convert to fraction form
   49,960/105,496 = 105,496/x
3. Step 3: Cross multiply
   49,960x = 105,496 × 105,496
4. Step 4: Simplify right side
   49,960x = 11,129,406,016
5. Step 5: Solve for x
   x = 11,129,406,016/49,960
6. Step 6: Final answer
   x = 222,766.33