Finding the Third Proportional to 256,856 and 340,914

Step by Step Solution

1. Step 1: Write the proportion equation
   256,856 : 340,914 = 340,914 : x
2. Step 2: Convert to fraction form
   256,856/340,914 = 340,914/x
3. Step 3: Cross multiply
   256,856x = 340,914 × 340,914
4. Step 4: Simplify right side
   256,856x = 116,222,355,396
5. Step 5: Solve for x
   x = 116,222,355,396/256,856
6. Step 6: Final answer
   x = 452,480.59