Finding the Third Proportional to 78,672 and 119,256

Step by Step Solution

1. Step 1: Write the proportion equation
   78,672 : 119,256 = 119,256 : x
2. Step 2: Convert to fraction form
   78,672/119,256 = 119,256/x
3. Step 3: Cross multiply
   78,672x = 119,256 × 119,256
4. Step 4: Simplify right side
   78,672x = 14,221,993,536
5. Step 5: Solve for x
   x = 14,221,993,536/78,672
6. Step 6: Final answer
   x = 180,775.80