Finding the Third Proportional to 79,978 and 171,026

Step by Step Solution

1. Step 1: Write the proportion equation
   79,978 : 171,026 = 171,026 : x
2. Step 2: Convert to fraction form
   79,978/171,026 = 171,026/x
3. Step 3: Cross multiply
   79,978x = 171,026 × 171,026
4. Step 4: Simplify right side
   79,978x = 29,249,892,676
5. Step 5: Solve for x
   x = 29,249,892,676/79,978
6. Step 6: Final answer
   x = 365,724.23