Finding the Third Proportional to 262,382 and 401,175

Step by Step Solution

1. Step 1: Write the proportion equation
   262,382 : 401,175 = 401,175 : x
2. Step 2: Convert to fraction form
   262,382/401,175 = 401,175/x
3. Step 3: Cross multiply
   262,382x = 401,175 × 401,175
4. Step 4: Simplify right side
   262,382x = 160,941,380,625
5. Step 5: Solve for x
   x = 160,941,380,625/262,382
6. Step 6: Final answer
   x = 613,385.75