Finding the Third Proportional to 49,162 and 105,618

Step by Step Solution

1. Step 1: Write the proportion equation
   49,162 : 105,618 = 105,618 : x
2. Step 2: Convert to fraction form
   49,162/105,618 = 105,618/x
3. Step 3: Cross multiply
   49,162x = 105,618 × 105,618
4. Step 4: Simplify right side
   49,162x = 11,155,161,924
5. Step 5: Solve for x
   x = 11,155,161,924/49,162
6. Step 6: Final answer
   x = 226,906.19