Finding the Third Proportional to 49,768 and 105,920

Step by Step Solution

1. Step 1: Write the proportion equation
   49,768 : 105,920 = 105,920 : x
2. Step 2: Convert to fraction form
   49,768/105,920 = 105,920/x
3. Step 3: Cross multiply
   49,768x = 105,920 × 105,920
4. Step 4: Simplify right side
   49,768x = 11,219,046,400
5. Step 5: Solve for x
   x = 11,219,046,400/49,768
6. Step 6: Final answer
   x = 225,426.91