Finding the Third Proportional to 256,922 and 541,540

Step by Step Solution

1. Step 1: Write the proportion equation
   256,922 : 541,540 = 541,540 : x
2. Step 2: Convert to fraction form
   256,922/541,540 = 541,540/x
3. Step 3: Cross multiply
   256,922x = 541,540 × 541,540
4. Step 4: Simplify right side
   256,922x = 293,265,571,600
5. Step 5: Solve for x
   x = 293,265,571,600/256,922
6. Step 6: Final answer
   x = 1,141,457.61