Finding the Third Proportional to 96,256 and 144,384

Step by Step Solution

1. Step 1: Write the proportion equation
   96,256 : 144,384 = 144,384 : x
2. Step 2: Convert to fraction form
   96,256/144,384 = 144,384/x
3. Step 3: Cross multiply
   96,256x = 144,384 × 144,384
4. Step 4: Simplify right side
   96,256x = 20,846,739,456
5. Step 5: Solve for x
   x = 20,846,739,456/96,256
6. Step 6: Final answer
   x = 216,576