Finding the Third Proportional to 57,600 and 132,384

Step by Step Solution

1. Step 1: Write the proportion equation
   57,600 : 132,384 = 132,384 : x
2. Step 2: Convert to fraction form
   57,600/132,384 = 132,384/x
3. Step 3: Cross multiply
   57,600x = 132,384 × 132,384
4. Step 4: Simplify right side
   57,600x = 17,525,523,456
5. Step 5: Solve for x
   x = 17,525,523,456/57,600
6. Step 6: Final answer
   x = 304,262.56