Finding the Third Proportional to 50,901 and 114,311

Step by Step Solution

1. Step 1: Write the proportion equation
   50,901 : 114,311 = 114,311 : x
2. Step 2: Convert to fraction form
   50,901/114,311 = 114,311/x
3. Step 3: Cross multiply
   50,901x = 114,311 × 114,311
4. Step 4: Simplify right side
   50,901x = 13,067,004,721
5. Step 5: Solve for x
   x = 13,067,004,721/50,901
6. Step 6: Final answer
   x = 256,714.11