Finding the Third Proportional to 80,707 and 164,693

Step by Step Solution

1. Step 1: Write the proportion equation
   80,707 : 164,693 = 164,693 : x
2. Step 2: Convert to fraction form
   80,707/164,693 = 164,693/x
3. Step 3: Cross multiply
   80,707x = 164,693 × 164,693
4. Step 4: Simplify right side
   80,707x = 27,123,784,249
5. Step 5: Solve for x
   x = 27,123,784,249/80,707
6. Step 6: Final answer
   x = 336,077.22