Finding the Third Proportional to 81,426 and 166,799

Step by Step Solution

1. Step 1: Write the proportion equation
   81,426 : 166,799 = 166,799 : x
2. Step 2: Convert to fraction form
   81,426/166,799 = 166,799/x
3. Step 3: Cross multiply
   81,426x = 166,799 × 166,799
4. Step 4: Simplify right side
   81,426x = 27,821,906,401
5. Step 5: Solve for x
   x = 27,821,906,401/81,426
6. Step 6: Final answer
   x = 341,683.32