Finding the Third Proportional to 150,160 and 320,384

Step by Step Solution

1. Step 1: Write the proportion equation
   150,160 : 320,384 = 320,384 : x
2. Step 2: Convert to fraction form
   150,160/320,384 = 320,384/x
3. Step 3: Cross multiply
   150,160x = 320,384 × 320,384
4. Step 4: Simplify right side
   150,160x = 102,645,907,456
5. Step 5: Solve for x
   x = 102,645,907,456/150,160
6. Step 6: Final answer
   x = 683,576.90