Finding the Third Proportional to 150,564 and 204,384

Step by Step Solution

1. Step 1: Write the proportion equation
   150,564 : 204,384 = 204,384 : x
2. Step 2: Convert to fraction form
   150,564/204,384 = 204,384/x
3. Step 3: Cross multiply
   150,564x = 204,384 × 204,384
4. Step 4: Simplify right side
   150,564x = 41,772,819,456
5. Step 5: Solve for x
   x = 41,772,819,456/150,564
6. Step 6: Final answer
   x = 277,442.28