Finding the Third Proportional to 256,851 and 340,814

Step by Step Solution

1. Step 1: Write the proportion equation
   256,851 : 340,814 = 340,814 : x
2. Step 2: Convert to fraction form
   256,851/340,814 = 340,814/x
3. Step 3: Cross multiply
   256,851x = 340,814 × 340,814
4. Step 4: Simplify right side
   256,851x = 116,154,182,596
5. Step 5: Solve for x
   x = 116,154,182,596/256,851
6. Step 6: Final answer
   x = 452,223.98