Finding the Third Proportional to 404,716 and 593,952

Step by Step Solution

1. Step 1: Write the proportion equation
   404,716 : 593,952 = 593,952 : x
2. Step 2: Convert to fraction form
   404,716/593,952 = 593,952/x
3. Step 3: Cross multiply
   404,716x = 593,952 × 593,952
4. Step 4: Simplify right side
   404,716x = 352,778,978,304
5. Step 5: Solve for x
   x = 352,778,978,304/404,716
6. Step 6: Final answer
   x = 871,670.45