Finding the Third Proportional to 402,664 and 605,004

Step by Step Solution

1. Step 1: Write the proportion equation
   402,664 : 605,004 = 605,004 : x
2. Step 2: Convert to fraction form
   402,664/605,004 = 605,004/x
3. Step 3: Cross multiply
   402,664x = 605,004 × 605,004
4. Step 4: Simplify right side
   402,664x = 366,029,840,016
5. Step 5: Solve for x
   x = 366,029,840,016/402,664
6. Step 6: Final answer
   x = 909,020.52