Finding the Third Proportional to 79,686 and 171,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,686 : 171,666.50 = 171,666.50 : x
2. Step 2: Convert to fraction form
   79,686/171,666.50 = 171,666.50/x
3. Step 3: Cross multiply
   79,686x = 171,666.50 × 171,666.50
4. Step 4: Simplify right side
   79,686x = 29,469,387,222.25
5. Step 5: Solve for x
   x = 29,469,387,222.25/79,686
6. Step 6: Final answer
   x = 369,818.88