Finding the Third Proportional to 78,048 and 168,384

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 168,384 = 168,384 : x
2. Step 2: Convert to fraction form
   78,048/168,384 = 168,384/x
3. Step 3: Cross multiply
   78,048x = 168,384 × 168,384
4. Step 4: Simplify right side
   78,048x = 28,353,171,456
5. Step 5: Solve for x
   x = 28,353,171,456/78,048
6. Step 6: Final answer
   x = 363,278.64