Finding the Third Proportional to 50,082 and 77,311

Step by Step Solution

1. Step 1: Write the proportion equation
   50,082 : 77,311 = 77,311 : x
2. Step 2: Convert to fraction form
   50,082/77,311 = 77,311/x
3. Step 3: Cross multiply
   50,082x = 77,311 × 77,311
4. Step 4: Simplify right side
   50,082x = 5,976,990,721
5. Step 5: Solve for x
   x = 5,976,990,721/50,082
6. Step 6: Final answer
   x = 119,344.09