Finding the Third Proportional to 85,674 and 186,051

Step by Step Solution

1. Step 1: Write the proportion equation
   85,674 : 186,051 = 186,051 : x
2. Step 2: Convert to fraction form
   85,674/186,051 = 186,051/x
3. Step 3: Cross multiply
   85,674x = 186,051 × 186,051
4. Step 4: Simplify right side
   85,674x = 34,614,974,601
5. Step 5: Solve for x
   x = 34,614,974,601/85,674
6. Step 6: Final answer
   x = 404,031.27