Finding the Third Proportional to 253,009 and 395,066

Step by Step Solution

1. Step 1: Write the proportion equation
   253,009 : 395,066 = 395,066 : x
2. Step 2: Convert to fraction form
   253,009/395,066 = 395,066/x
3. Step 3: Cross multiply
   253,009x = 395,066 × 395,066
4. Step 4: Simplify right side
   253,009x = 156,077,144,356
5. Step 5: Solve for x
   x = 156,077,144,356/253,009
6. Step 6: Final answer
   x = 616,883.76