Finding the Third Proportional to 166,342 and 359,996

Step by Step Solution

1. Step 1: Write the proportion equation
   166,342 : 359,996 = 359,996 : x
2. Step 2: Convert to fraction form
   166,342/359,996 = 359,996/x
3. Step 3: Cross multiply
   166,342x = 359,996 × 359,996
4. Step 4: Simplify right side
   166,342x = 129,597,120,016
5. Step 5: Solve for x
   x = 129,597,120,016/166,342
6. Step 6: Final answer
   x = 779,100.41