Finding the Third Proportional to 80,676 and 164,916

Step by Step Solution

1. Step 1: Write the proportion equation
   80,676 : 164,916 = 164,916 : x
2. Step 2: Convert to fraction form
   80,676/164,916 = 164,916/x
3. Step 3: Cross multiply
   80,676x = 164,916 × 164,916
4. Step 4: Simplify right side
   80,676x = 27,197,287,056
5. Step 5: Solve for x
   x = 27,197,287,056/80,676
6. Step 6: Final answer
   x = 337,117.45