Finding the Third Proportional to 80,870 and 118,665

Step by Step Solution

1. Step 1: Write the proportion equation
   80,870 : 118,665 = 118,665 : x
2. Step 2: Convert to fraction form
   80,870/118,665 = 118,665/x
3. Step 3: Cross multiply
   80,870x = 118,665 × 118,665
4. Step 4: Simplify right side
   80,870x = 14,081,382,225
5. Step 5: Solve for x
   x = 14,081,382,225/80,870
6. Step 6: Final answer
   x = 174,123.68