Finding the Third Proportional to 262,359 and 401,145

Step by Step Solution

1. Step 1: Write the proportion equation
   262,359 : 401,145 = 401,145 : x
2. Step 2: Convert to fraction form
   262,359/401,145 = 401,145/x
3. Step 3: Cross multiply
   262,359x = 401,145 × 401,145
4. Step 4: Simplify right side
   262,359x = 160,917,311,025
5. Step 5: Solve for x
   x = 160,917,311,025/262,359
6. Step 6: Final answer
   x = 613,347.78