Finding the Third Proportional to 80,792 and 165,608

Step by Step Solution

1. Step 1: Write the proportion equation
   80,792 : 165,608 = 165,608 : x
2. Step 2: Convert to fraction form
   80,792/165,608 = 165,608/x
3. Step 3: Cross multiply
   80,792x = 165,608 × 165,608
4. Step 4: Simplify right side
   80,792x = 27,426,009,664
5. Step 5: Solve for x
   x = 27,426,009,664/80,792
6. Step 6: Final answer
   x = 339,464.42