Finding the Third Proportional to 116,874 and 255,996

Step by Step Solution

1. Step 1: Write the proportion equation
   116,874 : 255,996 = 255,996 : x
2. Step 2: Convert to fraction form
   116,874/255,996 = 255,996/x
3. Step 3: Cross multiply
   116,874x = 255,996 × 255,996
4. Step 4: Simplify right side
   116,874x = 65,533,952,016
5. Step 5: Solve for x
   x = 65,533,952,016/116,874
6. Step 6: Final answer
   x = 560,723.10