Finding the Third Proportional to 262,317 and 401,084

Step by Step Solution

1. Step 1: Write the proportion equation
   262,317 : 401,084 = 401,084 : x
2. Step 2: Convert to fraction form
   262,317/401,084 = 401,084/x
3. Step 3: Cross multiply
   262,317x = 401,084 × 401,084
4. Step 4: Simplify right side
   262,317x = 160,868,375,056
5. Step 5: Solve for x
   x = 160,868,375,056/262,317
6. Step 6: Final answer
   x = 613,259.43