Finding the Third Proportional to 155,778 and 338,892

Step by Step Solution

1. Step 1: Write the proportion equation
   155,778 : 338,892 = 338,892 : x
2. Step 2: Convert to fraction form
   155,778/338,892 = 338,892/x
3. Step 3: Cross multiply
   155,778x = 338,892 × 338,892
4. Step 4: Simplify right side
   155,778x = 114,847,787,664
5. Step 5: Solve for x
   x = 114,847,787,664/155,778
6. Step 6: Final answer
   x = 737,252.93