Finding the Third Proportional to 79,685 and 171,665

Step by Step Solution

1. Step 1: Write the proportion equation
   79,685 : 171,665 = 171,665 : x
2. Step 2: Convert to fraction form
   79,685/171,665 = 171,665/x
3. Step 3: Cross multiply
   79,685x = 171,665 × 171,665
4. Step 4: Simplify right side
   79,685x = 29,468,872,225
5. Step 5: Solve for x
   x = 29,468,872,225/79,685
6. Step 6: Final answer
   x = 369,817.06