Finding the Third Proportional to 333,184 and 728,504

Step by Step Solution

1. Step 1: Write the proportion equation
   333,184 : 728,504 = 728,504 : x
2. Step 2: Convert to fraction form
   333,184/728,504 = 728,504/x
3. Step 3: Cross multiply
   333,184x = 728,504 × 728,504
4. Step 4: Simplify right side
   333,184x = 530,718,078,016
5. Step 5: Solve for x
   x = 530,718,078,016/333,184
6. Step 6: Final answer
   x = 1,592,867.84