Finding the Third Proportional to 103,632 and 159,384

Step by Step Solution

1. Step 1: Write the proportion equation
   103,632 : 159,384 = 159,384 : x
2. Step 2: Convert to fraction form
   103,632/159,384 = 159,384/x
3. Step 3: Cross multiply
   103,632x = 159,384 × 159,384
4. Step 4: Simplify right side
   103,632x = 25,403,259,456
5. Step 5: Solve for x
   x = 25,403,259,456/103,632
6. Step 6: Final answer
   x = 245,129.49