Finding the Third Proportional to 50,996 and 78,767

Step by Step Solution

1. Step 1: Write the proportion equation
   50,996 : 78,767 = 78,767 : x
2. Step 2: Convert to fraction form
   50,996/78,767 = 78,767/x
3. Step 3: Cross multiply
   50,996x = 78,767 × 78,767
4. Step 4: Simplify right side
   50,996x = 6,204,240,289
5. Step 5: Solve for x
   x = 6,204,240,289/50,996
6. Step 6: Final answer
   x = 121,661.31