Finding the Third Proportional to 114,016 and 175,398

Step by Step Solution

1. Step 1: Write the proportion equation
   114,016 : 175,398 = 175,398 : x
2. Step 2: Convert to fraction form
   114,016/175,398 = 175,398/x
3. Step 3: Cross multiply
   114,016x = 175,398 × 175,398
4. Step 4: Simplify right side
   114,016x = 30,764,458,404
5. Step 5: Solve for x
   x = 30,764,458,404/114,016
6. Step 6: Final answer
   x = 269,825.80