Finding the Third Proportional to 79,680 and 111,670

Step by Step Solution

1. Step 1: Write the proportion equation
   79,680 : 111,670 = 111,670 : x
2. Step 2: Convert to fraction form
   79,680/111,670 = 111,670/x
3. Step 3: Cross multiply
   79,680x = 111,670 × 111,670
4. Step 4: Simplify right side
   79,680x = 12,470,188,900
5. Step 5: Solve for x
   x = 12,470,188,900/79,680
6. Step 6: Final answer
   x = 156,503.37