Finding the Third Proportional to 50,742 and 78,874

Step by Step Solution

1. Step 1: Write the proportion equation
   50,742 : 78,874 = 78,874 : x
2. Step 2: Convert to fraction form
   50,742/78,874 = 78,874/x
3. Step 3: Cross multiply
   50,742x = 78,874 × 78,874
4. Step 4: Simplify right side
   50,742x = 6,221,107,876
5. Step 5: Solve for x
   x = 6,221,107,876/50,742
6. Step 6: Final answer
   x = 122,602.73