Finding the Third Proportional to 80,564 and 166,308

Step by Step Solution

1. Step 1: Write the proportion equation
   80,564 : 166,308 = 166,308 : x
2. Step 2: Convert to fraction form
   80,564/166,308 = 166,308/x
3. Step 3: Cross multiply
   80,564x = 166,308 × 166,308
4. Step 4: Simplify right side
   80,564x = 27,658,350,864
5. Step 5: Solve for x
   x = 27,658,350,864/80,564
6. Step 6: Final answer
   x = 343,309.06