Finding the Third Proportional to 50,268 and 105,702

Step by Step Solution

1. Step 1: Write the proportion equation
   50,268 : 105,702 = 105,702 : x
2. Step 2: Convert to fraction form
   50,268/105,702 = 105,702/x
3. Step 3: Cross multiply
   50,268x = 105,702 × 105,702
4. Step 4: Simplify right side
   50,268x = 11,172,912,804
5. Step 5: Solve for x
   x = 11,172,912,804/50,268
6. Step 6: Final answer
   x = 222,266.91