Finding the Third Proportional to 256,066 and 395,648

Step by Step Solution

1. Step 1: Write the proportion equation
   256,066 : 395,648 = 395,648 : x
2. Step 2: Convert to fraction form
   256,066/395,648 = 395,648/x
3. Step 3: Cross multiply
   256,066x = 395,648 × 395,648
4. Step 4: Simplify right side
   256,066x = 156,537,339,904
5. Step 5: Solve for x
   x = 156,537,339,904/256,066
6. Step 6: Final answer
   x = 611,316.38