Finding the Third Proportional to 80,802 and 165,522

Step by Step Solution

1. Step 1: Write the proportion equation
   80,802 : 165,522 = 165,522 : x
2. Step 2: Convert to fraction form
   80,802/165,522 = 165,522/x
3. Step 3: Cross multiply
   80,802x = 165,522 × 165,522
4. Step 4: Simplify right side
   80,802x = 27,397,532,484
5. Step 5: Solve for x
   x = 27,397,532,484/80,802
6. Step 6: Final answer
   x = 339,069.98