Finding the Third Proportional to 50,456 and 75,684

Step by Step Solution

1. Step 1: Write the proportion equation
   50,456 : 75,684 = 75,684 : x
2. Step 2: Convert to fraction form
   50,456/75,684 = 75,684/x
3. Step 3: Cross multiply
   50,456x = 75,684 × 75,684
4. Step 4: Simplify right side
   50,456x = 5,728,067,856
5. Step 5: Solve for x
   x = 5,728,067,856/50,456
6. Step 6: Final answer
   x = 113,526