Finding the Third Proportional to 49,759 and 105,133

Step by Step Solution

1. Step 1: Write the proportion equation
   49,759 : 105,133 = 105,133 : x
2. Step 2: Convert to fraction form
   49,759/105,133 = 105,133/x
3. Step 3: Cross multiply
   49,759x = 105,133 × 105,133
4. Step 4: Simplify right side
   49,759x = 11,052,947,689
5. Step 5: Solve for x
   x = 11,052,947,689/49,759
6. Step 6: Final answer
   x = 222,129.62