Finding the Third Proportional to 50,882 and 78,780

Step by Step Solution

1. Step 1: Write the proportion equation
   50,882 : 78,780 = 78,780 : x
2. Step 2: Convert to fraction form
   50,882/78,780 = 78,780/x
3. Step 3: Cross multiply
   50,882x = 78,780 × 78,780
4. Step 4: Simplify right side
   50,882x = 6,206,288,400
5. Step 5: Solve for x
   x = 6,206,288,400/50,882
6. Step 6: Final answer
   x = 121,974.14