Finding the Third Proportional to 181,792 and 388,856

Step by Step Solution

1. Step 1: Write the proportion equation
   181,792 : 388,856 = 388,856 : x
2. Step 2: Convert to fraction form
   181,792/388,856 = 388,856/x
3. Step 3: Cross multiply
   181,792x = 388,856 × 388,856
4. Step 4: Simplify right side
   181,792x = 151,208,988,736
5. Step 5: Solve for x
   x = 151,208,988,736/181,792
6. Step 6: Final answer
   x = 831,769.21