Finding the Third Proportional to 79,966 and 171,005

Step by Step Solution

1. Step 1: Write the proportion equation
   79,966 : 171,005 = 171,005 : x
2. Step 2: Convert to fraction form
   79,966/171,005 = 171,005/x
3. Step 3: Cross multiply
   79,966x = 171,005 × 171,005
4. Step 4: Simplify right side
   79,966x = 29,242,710,025
5. Step 5: Solve for x
   x = 29,242,710,025/79,966
6. Step 6: Final answer
   x = 365,689.29