Finding the Third Proportional to 85,338 and 185,802

Step by Step Solution

1. Step 1: Write the proportion equation
   85,338 : 185,802 = 185,802 : x
2. Step 2: Convert to fraction form
   85,338/185,802 = 185,802/x
3. Step 3: Cross multiply
   85,338x = 185,802 × 185,802
4. Step 4: Simplify right side
   85,338x = 34,522,383,204
5. Step 5: Solve for x
   x = 34,522,383,204/85,338
6. Step 6: Final answer
   x = 404,537.06