Finding the Third Proportional to 253,802 and 401,597

Step by Step Solution

1. Step 1: Write the proportion equation
   253,802 : 401,597 = 401,597 : x
2. Step 2: Convert to fraction form
   253,802/401,597 = 401,597/x
3. Step 3: Cross multiply
   253,802x = 401,597 × 401,597
4. Step 4: Simplify right side
   253,802x = 161,280,150,409
5. Step 5: Solve for x
   x = 161,280,150,409/253,802
6. Step 6: Final answer
   x = 635,456.58