Finding the Third Proportional to 178,824 and 388,404

Step by Step Solution

1. Step 1: Write the proportion equation
   178,824 : 388,404 = 388,404 : x
2. Step 2: Convert to fraction form
   178,824/388,404 = 388,404/x
3. Step 3: Cross multiply
   178,824x = 388,404 × 388,404
4. Step 4: Simplify right side
   178,824x = 150,857,667,216
5. Step 5: Solve for x
   x = 150,857,667,216/178,824
6. Step 6: Final answer
   x = 843,609.73