Finding the Third Proportional to 51,891 and 114,150

Step by Step Solution

1. Step 1: Write the proportion equation
   51,891 : 114,150 = 114,150 : x
2. Step 2: Convert to fraction form
   51,891/114,150 = 114,150/x
3. Step 3: Cross multiply
   51,891x = 114,150 × 114,150
4. Step 4: Simplify right side
   51,891x = 13,030,222,500
5. Step 5: Solve for x
   x = 13,030,222,500/51,891
6. Step 6: Final answer
   x = 251,107.56