Finding the Third Proportional to 262,656 and 400,546

Step by Step Solution

1. Step 1: Write the proportion equation
   262,656 : 400,546 = 400,546 : x
2. Step 2: Convert to fraction form
   262,656/400,546 = 400,546/x
3. Step 3: Cross multiply
   262,656x = 400,546 × 400,546
4. Step 4: Simplify right side
   262,656x = 160,437,098,116
5. Step 5: Solve for x
   x = 160,437,098,116/262,656
6. Step 6: Final answer
   x = 610,825.94