Finding the Third Proportional to 166,638 and 359,892

Step by Step Solution

1. Step 1: Write the proportion equation
   166,638 : 359,892 = 359,892 : x
2. Step 2: Convert to fraction form
   166,638/359,892 = 359,892/x
3. Step 3: Cross multiply
   166,638x = 359,892 × 359,892
4. Step 4: Simplify right side
   166,638x = 129,522,251,664
5. Step 5: Solve for x
   x = 129,522,251,664/166,638
6. Step 6: Final answer
   x = 777,267.20