Finding the Third Proportional to 181,380 and 388,968

Step by Step Solution

1. Step 1: Write the proportion equation
   181,380 : 388,968 = 388,968 : x
2. Step 2: Convert to fraction form
   181,380/388,968 = 388,968/x
3. Step 3: Cross multiply
   181,380x = 388,968 × 388,968
4. Step 4: Simplify right side
   181,380x = 151,296,105,024
5. Step 5: Solve for x
   x = 151,296,105,024/181,380
6. Step 6: Final answer
   x = 834,138.85