Finding the Third Proportional to 404,864 and 605,424

Step by Step Solution

1. Step 1: Write the proportion equation
   404,864 : 605,424 = 605,424 : x
2. Step 2: Convert to fraction form
   404,864/605,424 = 605,424/x
3. Step 3: Cross multiply
   404,864x = 605,424 × 605,424
4. Step 4: Simplify right side
   404,864x = 366,538,219,776
5. Step 5: Solve for x
   x = 366,538,219,776/404,864
6. Step 6: Final answer
   x = 905,336.66