Finding the Third Proportional to 404,746 and 593,996

Step by Step Solution

1. Step 1: Write the proportion equation
   404,746 : 593,996 = 593,996 : x
2. Step 2: Convert to fraction form
   404,746/593,996 = 593,996/x
3. Step 3: Cross multiply
   404,746x = 593,996 × 593,996
4. Step 4: Simplify right side
   404,746x = 352,831,248,016
5. Step 5: Solve for x
   x = 352,831,248,016/404,746
6. Step 6: Final answer
   x = 871,734.98