Finding the Third Proportional to 50,231 and 75,856

Step by Step Solution

1. Step 1: Write the proportion equation
   50,231 : 75,856 = 75,856 : x
2. Step 2: Convert to fraction form
   50,231/75,856 = 75,856/x
3. Step 3: Cross multiply
   50,231x = 75,856 × 75,856
4. Step 4: Simplify right side
   50,231x = 5,754,132,736
5. Step 5: Solve for x
   x = 5,754,132,736/50,231
6. Step 6: Final answer
   x = 114,553.42