Finding the Third Proportional to 85,874 and 186,048

Step by Step Solution

1. Step 1: Write the proportion equation
   85,874 : 186,048 = 186,048 : x
2. Step 2: Convert to fraction form
   85,874/186,048 = 186,048/x
3. Step 3: Cross multiply
   85,874x = 186,048 × 186,048
4. Step 4: Simplify right side
   85,874x = 34,613,858,304
5. Step 5: Solve for x
   x = 34,613,858,304/85,874
6. Step 6: Final answer
   x = 403,077.28