Finding the Third Proportional to 253,930 and 401,748

Step by Step Solution

1. Step 1: Write the proportion equation
   253,930 : 401,748 = 401,748 : x
2. Step 2: Convert to fraction form
   253,930/401,748 = 401,748/x
3. Step 3: Cross multiply
   253,930x = 401,748 × 401,748
4. Step 4: Simplify right side
   253,930x = 161,401,455,504
5. Step 5: Solve for x
   x = 161,401,455,504/253,930
6. Step 6: Final answer
   x = 635,613.97