Finding the Third Proportional to 108,144 and 159,408

Step by Step Solution

1. Step 1: Write the proportion equation
   108,144 : 159,408 = 159,408 : x
2. Step 2: Convert to fraction form
   108,144/159,408 = 159,408/x
3. Step 3: Cross multiply
   108,144x = 159,408 × 159,408
4. Step 4: Simplify right side
   108,144x = 25,410,910,464
5. Step 5: Solve for x
   x = 25,410,910,464/108,144
6. Step 6: Final answer
   x = 234,972.91