Finding the Third Proportional to 253,288 and 401,070

Step by Step Solution

1. Step 1: Write the proportion equation
   253,288 : 401,070 = 401,070 : x
2. Step 2: Convert to fraction form
   253,288/401,070 = 401,070/x
3. Step 3: Cross multiply
   253,288x = 401,070 × 401,070
4. Step 4: Simplify right side
   253,288x = 160,857,144,900
5. Step 5: Solve for x
   x = 160,857,144,900/253,288
6. Step 6: Final answer
   x = 635,076.06