Finding the Third Proportional to 123,960 and 180,108

Step by Step Solution

1. Step 1: Write the proportion equation
   123,960 : 180,108 = 180,108 : x
2. Step 2: Convert to fraction form
   123,960/180,108 = 180,108/x
3. Step 3: Cross multiply
   123,960x = 180,108 × 180,108
4. Step 4: Simplify right side
   123,960x = 32,438,891,664
5. Step 5: Solve for x
   x = 32,438,891,664/123,960
6. Step 6: Final answer
   x = 261,688.38