Finding the Third Proportional to 181,778 and 388,826

Step by Step Solution

1. Step 1: Write the proportion equation
   181,778 : 388,826 = 388,826 : x
2. Step 2: Convert to fraction form
   181,778/388,826 = 388,826/x
3. Step 3: Cross multiply
   181,778x = 388,826 × 388,826
4. Step 4: Simplify right side
   181,778x = 151,185,658,276
5. Step 5: Solve for x
   x = 151,185,658,276/181,778
6. Step 6: Final answer
   x = 831,704.93