Finding the Third Proportional to 50,866 and 78,694

Step by Step Solution

1. Step 1: Write the proportion equation
   50,866 : 78,694 = 78,694 : x
2. Step 2: Convert to fraction form
   50,866/78,694 = 78,694/x
3. Step 3: Cross multiply
   50,866x = 78,694 × 78,694
4. Step 4: Simplify right side
   50,866x = 6,192,745,636
5. Step 5: Solve for x
   x = 6,192,745,636/50,866
6. Step 6: Final answer
   x = 121,746.27