Finding the Third Proportional to 181,578 and 385,002

Step by Step Solution

1. Step 1: Write the proportion equation
   181,578 : 385,002 = 385,002 : x
2. Step 2: Convert to fraction form
   181,578/385,002 = 385,002/x
3. Step 3: Cross multiply
   181,578x = 385,002 × 385,002
4. Step 4: Simplify right side
   181,578x = 148,226,540,004
5. Step 5: Solve for x
   x = 148,226,540,004/181,578
6. Step 6: Final answer
   x = 816,324.33