Finding the Third Proportional to 50,264 and 105,694

Step by Step Solution

1. Step 1: Write the proportion equation
   50,264 : 105,694 = 105,694 : x
2. Step 2: Convert to fraction form
   50,264/105,694 = 105,694/x
3. Step 3: Cross multiply
   50,264x = 105,694 × 105,694
4. Step 4: Simplify right side
   50,264x = 11,171,221,636
5. Step 5: Solve for x
   x = 11,171,221,636/50,264
6. Step 6: Final answer
   x = 222,250.95