Finding the Third Proportional to 123,648 and 180,288

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 180,288 = 180,288 : x
2. Step 2: Convert to fraction form
   123,648/180,288 = 180,288/x
3. Step 3: Cross multiply
   123,648x = 180,288 × 180,288
4. Step 4: Simplify right side
   123,648x = 32,503,762,944
5. Step 5: Solve for x
   x = 32,503,762,944/123,648
6. Step 6: Final answer
   x = 262,873.34