Finding the Third Proportional to 301,830 and 408,456

Step by Step Solution

1. Step 1: Write the proportion equation
   301,830 : 408,456 = 408,456 : x
2. Step 2: Convert to fraction form
   301,830/408,456 = 408,456/x
3. Step 3: Cross multiply
   301,830x = 408,456 × 408,456
4. Step 4: Simplify right side
   301,830x = 166,836,303,936
5. Step 5: Solve for x
   x = 166,836,303,936/301,830
6. Step 6: Final answer
   x = 552,749.24