Finding the Third Proportional to 80,945 and 165,898

Step by Step Solution

1. Step 1: Write the proportion equation
   80,945 : 165,898 = 165,898 : x
2. Step 2: Convert to fraction form
   80,945/165,898 = 165,898/x
3. Step 3: Cross multiply
   80,945x = 165,898 × 165,898
4. Step 4: Simplify right side
   80,945x = 27,522,146,404
5. Step 5: Solve for x
   x = 27,522,146,404/80,945
6. Step 6: Final answer
   x = 340,010.46