Finding the Third Proportional to 150,648 and 327,510

Step by Step Solution

1. Step 1: Write the proportion equation
   150,648 : 327,510 = 327,510 : x
2. Step 2: Convert to fraction form
   150,648/327,510 = 327,510/x
3. Step 3: Cross multiply
   150,648x = 327,510 × 327,510
4. Step 4: Simplify right side
   150,648x = 107,262,800,100
5. Step 5: Solve for x
   x = 107,262,800,100/150,648
6. Step 6: Final answer
   x = 712,009.45