Finding the Third Proportional to 166,608 and 359,864

Step by Step Solution

1. Step 1: Write the proportion equation
   166,608 : 359,864 = 359,864 : x
2. Step 2: Convert to fraction form
   166,608/359,864 = 359,864/x
3. Step 3: Cross multiply
   166,608x = 359,864 × 359,864
4. Step 4: Simplify right side
   166,608x = 129,502,098,496
5. Step 5: Solve for x
   x = 129,502,098,496/166,608
6. Step 6: Final answer
   x = 777,286.20