Finding the Third Proportional to 408,078 and 573,648

Step by Step Solution

1. Step 1: Write the proportion equation
   408,078 : 573,648 = 573,648 : x
2. Step 2: Convert to fraction form
   408,078/573,648 = 573,648/x
3. Step 3: Cross multiply
   408,078x = 573,648 × 573,648
4. Step 4: Simplify right side
   408,078x = 329,072,027,904
5. Step 5: Solve for x
   x = 329,072,027,904/408,078
6. Step 6: Final answer
   x = 806,394.92