Finding the Third Proportional to 78,270 and 119,096

Step by Step Solution

1. Step 1: Write the proportion equation
   78,270 : 119,096 = 119,096 : x
2. Step 2: Convert to fraction form
   78,270/119,096 = 119,096/x
3. Step 3: Cross multiply
   78,270x = 119,096 × 119,096
4. Step 4: Simplify right side
   78,270x = 14,183,857,216
5. Step 5: Solve for x
   x = 14,183,857,216/78,270
6. Step 6: Final answer
   x = 181,217.03