Finding the Third Proportional to 80,361 and 169,667

Step by Step Solution

1. Step 1: Write the proportion equation
   80,361 : 169,667 = 169,667 : x
2. Step 2: Convert to fraction form
   80,361/169,667 = 169,667/x
3. Step 3: Cross multiply
   80,361x = 169,667 × 169,667
4. Step 4: Simplify right side
   80,361x = 28,786,890,889
5. Step 5: Solve for x
   x = 28,786,890,889/80,361
6. Step 6: Final answer
   x = 358,219.67