Finding the Third Proportional to 166,686 and 359,616

Step by Step Solution

1. Step 1: Write the proportion equation
   166,686 : 359,616 = 359,616 : x
2. Step 2: Convert to fraction form
   166,686/359,616 = 359,616/x
3. Step 3: Cross multiply
   166,686x = 359,616 × 359,616
4. Step 4: Simplify right side
   166,686x = 129,323,667,456
5. Step 5: Solve for x
   x = 129,323,667,456/166,686
6. Step 6: Final answer
   x = 775,852.01