Finding the Third Proportional to 503,856 and 704,424

Step by Step Solution

1. Step 1: Write the proportion equation
   503,856 : 704,424 = 704,424 : x
2. Step 2: Convert to fraction form
   503,856/704,424 = 704,424/x
3. Step 3: Cross multiply
   503,856x = 704,424 × 704,424
4. Step 4: Simplify right side
   503,856x = 496,213,171,776
5. Step 5: Solve for x
   x = 496,213,171,776/503,856
6. Step 6: Final answer
   x = 984,831.32