Finding the Third Proportional to 79,978 and 175,022

Step by Step Solution

1. Step 1: Write the proportion equation
   79,978 : 175,022 = 175,022 : x
2. Step 2: Convert to fraction form
   79,978/175,022 = 175,022/x
3. Step 3: Cross multiply
   79,978x = 175,022 × 175,022
4. Step 4: Simplify right side
   79,978x = 30,632,700,484
5. Step 5: Solve for x
   x = 30,632,700,484/79,978
6. Step 6: Final answer
   x = 383,014.08