Finding the Third Proportional to 150,510 and 205,001

Step by Step Solution

1. Step 1: Write the proportion equation
   150,510 : 205,001 = 205,001 : x
2. Step 2: Convert to fraction form
   150,510/205,001 = 205,001/x
3. Step 3: Cross multiply
   150,510x = 205,001 × 205,001
4. Step 4: Simplify right side
   150,510x = 42,025,410,001
5. Step 5: Solve for x
   x = 42,025,410,001/150,510
6. Step 6: Final answer
   x = 279,220.05