Finding the Third Proportional to 262,767 and 404,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,767 : 404,356.50 = 404,356.50 : x
2. Step 2: Convert to fraction form
   262,767/404,356.50 = 404,356.50/x
3. Step 3: Cross multiply
   262,767x = 404,356.50 × 404,356.50
4. Step 4: Simplify right side
   262,767x = 163,504,179,092.25
5. Step 5: Solve for x
   x = 163,504,179,092.25/262,767
6. Step 6: Final answer
   x = 622,240.16