Finding the Third Proportional to 300,728 and 423,114

Step by Step Solution

1. Step 1: Write the proportion equation
   300,728 : 423,114 = 423,114 : x
2. Step 2: Convert to fraction form
   300,728/423,114 = 423,114/x
3. Step 3: Cross multiply
   300,728x = 423,114 × 423,114
4. Step 4: Simplify right side
   300,728x = 179,025,456,996
5. Step 5: Solve for x
   x = 179,025,456,996/300,728
6. Step 6: Final answer
   x = 595,306.91