Finding the Third Proportional to 150,510 and 329,004

Step by Step Solution

1. Step 1: Write the proportion equation
   150,510 : 329,004 = 329,004 : x
2. Step 2: Convert to fraction form
   150,510/329,004 = 329,004/x
3. Step 3: Cross multiply
   150,510x = 329,004 × 329,004
4. Step 4: Simplify right side
   150,510x = 108,243,632,016
5. Step 5: Solve for x
   x = 108,243,632,016/150,510
6. Step 6: Final answer
   x = 719,179.00