Finding the Third Proportional to 123,408 and 180,504

Step by Step Solution

1. Step 1: Write the proportion equation
   123,408 : 180,504 = 180,504 : x
2. Step 2: Convert to fraction form
   123,408/180,504 = 180,504/x
3. Step 3: Cross multiply
   123,408x = 180,504 × 180,504
4. Step 4: Simplify right side
   123,408x = 32,581,694,016
5. Step 5: Solve for x
   x = 32,581,694,016/123,408
6. Step 6: Final answer
   x = 264,016.06