Finding the Third Proportional to 404,685 and 593,905

Step by Step Solution

1. Step 1: Write the proportion equation
   404,685 : 593,905 = 593,905 : x
2. Step 2: Convert to fraction form
   404,685/593,905 = 593,905/x
3. Step 3: Cross multiply
   404,685x = 593,905 × 593,905
4. Step 4: Simplify right side
   404,685x = 352,723,149,025
5. Step 5: Solve for x
   x = 352,723,149,025/404,685
6. Step 6: Final answer
   x = 871,599.27