Finding the Third Proportional to 50,856 and 77,325

Step by Step Solution

1. Step 1: Write the proportion equation
   50,856 : 77,325 = 77,325 : x
2. Step 2: Convert to fraction form
   50,856/77,325 = 77,325/x
3. Step 3: Cross multiply
   50,856x = 77,325 × 77,325
4. Step 4: Simplify right side
   50,856x = 5,979,155,625
5. Step 5: Solve for x
   x = 5,979,155,625/50,856
6. Step 6: Final answer
   x = 117,570.31