Finding the Third Proportional to 150,759 and 204,744

Step by Step Solution

1. Step 1: Write the proportion equation
   150,759 : 204,744 = 204,744 : x
2. Step 2: Convert to fraction form
   150,759/204,744 = 204,744/x
3. Step 3: Cross multiply
   150,759x = 204,744 × 204,744
4. Step 4: Simplify right side
   150,759x = 41,920,105,536
5. Step 5: Solve for x
   x = 41,920,105,536/150,759
6. Step 6: Final answer
   x = 278,060.38