Finding the Third Proportional to 262,764 and 404,352

Step by Step Solution

1. Step 1: Write the proportion equation
   262,764 : 404,352 = 404,352 : x
2. Step 2: Convert to fraction form
   262,764/404,352 = 404,352/x
3. Step 3: Cross multiply
   262,764x = 404,352 × 404,352
4. Step 4: Simplify right side
   262,764x = 163,500,539,904
5. Step 5: Solve for x
   x = 163,500,539,904/262,764
6. Step 6: Final answer
   x = 622,233.41