Finding the Third Proportional to 51,914 and 115,510

Step by Step Solution

1. Step 1: Write the proportion equation
   51,914 : 115,510 = 115,510 : x
2. Step 2: Convert to fraction form
   51,914/115,510 = 115,510/x
3. Step 3: Cross multiply
   51,914x = 115,510 × 115,510
4. Step 4: Simplify right side
   51,914x = 13,342,560,100
5. Step 5: Solve for x
   x = 13,342,560,100/51,914
6. Step 6: Final answer
   x = 257,012.75