Finding the Third Proportional to 166,656 and 359,912

Step by Step Solution

1. Step 1: Write the proportion equation
   166,656 : 359,912 = 359,912 : x
2. Step 2: Convert to fraction form
   166,656/359,912 = 359,912/x
3. Step 3: Cross multiply
   166,656x = 359,912 × 359,912
4. Step 4: Simplify right side
   166,656x = 129,536,647,744
5. Step 5: Solve for x
   x = 129,536,647,744/166,656
6. Step 6: Final answer
   x = 777,269.63