Finding the Third Proportional to 50,382 and 76,782

Step by Step Solution

1. Step 1: Write the proportion equation
   50,382 : 76,782 = 76,782 : x
2. Step 2: Convert to fraction form
   50,382/76,782 = 76,782/x
3. Step 3: Cross multiply
   50,382x = 76,782 × 76,782
4. Step 4: Simplify right side
   50,382x = 5,895,475,524
5. Step 5: Solve for x
   x = 5,895,475,524/50,382
6. Step 6: Final answer
   x = 117,015.51