Finding the Third Proportional to 76,048 and 164,384

Step by Step Solution

1. Step 1: Write the proportion equation
   76,048 : 164,384 = 164,384 : x
2. Step 2: Convert to fraction form
   76,048/164,384 = 164,384/x
3. Step 3: Cross multiply
   76,048x = 164,384 × 164,384
4. Step 4: Simplify right side
   76,048x = 27,022,099,456
5. Step 5: Solve for x
   x = 27,022,099,456/76,048
6. Step 6: Final answer
   x = 355,329.52