Finding the Third Proportional to 253,269 and 401,040

Step by Step Solution

1. Step 1: Write the proportion equation
   253,269 : 401,040 = 401,040 : x
2. Step 2: Convert to fraction form
   253,269/401,040 = 401,040/x
3. Step 3: Cross multiply
   253,269x = 401,040 × 401,040
4. Step 4: Simplify right side
   253,269x = 160,833,081,600
5. Step 5: Solve for x
   x = 160,833,081,600/253,269
6. Step 6: Final answer
   x = 635,028.69