Finding the Third Proportional to 178,456 and 388,008

Step by Step Solution

1. Step 1: Write the proportion equation
   178,456 : 388,008 = 388,008 : x
2. Step 2: Convert to fraction form
   178,456/388,008 = 388,008/x
3. Step 3: Cross multiply
   178,456x = 388,008 × 388,008
4. Step 4: Simplify right side
   178,456x = 150,550,208,064
5. Step 5: Solve for x
   x = 150,550,208,064/178,456
6. Step 6: Final answer
   x = 843,626.49