Finding the Third Proportional to 50,996 and 78,771

Step by Step Solution

1. Step 1: Write the proportion equation
   50,996 : 78,771 = 78,771 : x
2. Step 2: Convert to fraction form
   50,996/78,771 = 78,771/x
3. Step 3: Cross multiply
   50,996x = 78,771 × 78,771
4. Step 4: Simplify right side
   50,996x = 6,204,870,441
5. Step 5: Solve for x
   x = 6,204,870,441/50,996
6. Step 6: Final answer
   x = 121,673.67