Finding the Third Proportional to 120,224 and 179,648

Step by Step Solution

1. Step 1: Write the proportion equation
   120,224 : 179,648 = 179,648 : x
2. Step 2: Convert to fraction form
   120,224/179,648 = 179,648/x
3. Step 3: Cross multiply
   120,224x = 179,648 × 179,648
4. Step 4: Simplify right side
   120,224x = 32,273,403,904
5. Step 5: Solve for x
   x = 32,273,403,904/120,224
6. Step 6: Final answer
   x = 268,443.94