Finding the Third Proportional to 80,788 and 165,598

Step by Step Solution

1. Step 1: Write the proportion equation
   80,788 : 165,598 = 165,598 : x
2. Step 2: Convert to fraction form
   80,788/165,598 = 165,598/x
3. Step 3: Cross multiply
   80,788x = 165,598 × 165,598
4. Step 4: Simplify right side
   80,788x = 27,422,697,604
5. Step 5: Solve for x
   x = 27,422,697,604/80,788
6. Step 6: Final answer
   x = 339,440.23