Finding the Third Proportional to 116,814 and 251,398

Step by Step Solution

1. Step 1: Write the proportion equation
   116,814 : 251,398 = 251,398 : x
2. Step 2: Convert to fraction form
   116,814/251,398 = 251,398/x
3. Step 3: Cross multiply
   116,814x = 251,398 × 251,398
4. Step 4: Simplify right side
   116,814x = 63,200,954,404
5. Step 5: Solve for x
   x = 63,200,954,404/116,814
6. Step 6: Final answer
   x = 541,039.21