Finding the Third Proportional to 419,494 and 593,016

Step by Step Solution

1. Step 1: Write the proportion equation
   419,494 : 593,016 = 593,016 : x
2. Step 2: Convert to fraction form
   419,494/593,016 = 593,016/x
3. Step 3: Cross multiply
   419,494x = 593,016 × 593,016
4. Step 4: Simplify right side
   419,494x = 351,667,976,256
5. Step 5: Solve for x
   x = 351,667,976,256/419,494
6. Step 6: Final answer
   x = 838,314.67