Finding the Third Proportional to 49,768 and 105,150

Step by Step Solution

1. Step 1: Write the proportion equation
   49,768 : 105,150 = 105,150 : x
2. Step 2: Convert to fraction form
   49,768/105,150 = 105,150/x
3. Step 3: Cross multiply
   49,768x = 105,150 × 105,150
4. Step 4: Simplify right side
   49,768x = 11,056,522,500
5. Step 5: Solve for x
   x = 11,056,522,500/49,768
6. Step 6: Final answer
   x = 222,161.28