Finding the Third Proportional to 120,354 and 180,096

Step by Step Solution

1. Step 1: Write the proportion equation
   120,354 : 180,096 = 180,096 : x
2. Step 2: Convert to fraction form
   120,354/180,096 = 180,096/x
3. Step 3: Cross multiply
   120,354x = 180,096 × 180,096
4. Step 4: Simplify right side
   120,354x = 32,434,569,216
5. Step 5: Solve for x
   x = 32,434,569,216/120,354
6. Step 6: Final answer
   x = 269,493.07