Finding the Third Proportional to 80,691 and 170,978

Step by Step Solution

1. Step 1: Write the proportion equation
   80,691 : 170,978 = 170,978 : x
2. Step 2: Convert to fraction form
   80,691/170,978 = 170,978/x
3. Step 3: Cross multiply
   80,691x = 170,978 × 170,978
4. Step 4: Simplify right side
   80,691x = 29,233,476,484
5. Step 5: Solve for x
   x = 29,233,476,484/80,691
6. Step 6: Final answer
   x = 362,289.18