Finding the Third Proportional to 80,978 and 170,758

Step by Step Solution

1. Step 1: Write the proportion equation
   80,978 : 170,758 = 170,758 : x
2. Step 2: Convert to fraction form
   80,978/170,758 = 170,758/x
3. Step 3: Cross multiply
   80,978x = 170,758 × 170,758
4. Step 4: Simplify right side
   80,978x = 29,158,294,564
5. Step 5: Solve for x
   x = 29,158,294,564/80,978
6. Step 6: Final answer
   x = 360,076.74