Finding the Third Proportional to 103,728 and 234,384

Step by Step Solution

1. Step 1: Write the proportion equation
   103,728 : 234,384 = 234,384 : x
2. Step 2: Convert to fraction form
   103,728/234,384 = 234,384/x
3. Step 3: Cross multiply
   103,728x = 234,384 × 234,384
4. Step 4: Simplify right side
   103,728x = 54,935,859,456
5. Step 5: Solve for x
   x = 54,935,859,456/103,728
6. Step 6: Final answer
   x = 529,614.56