Finding the Third Proportional to 85,452 and 186,996

Step by Step Solution

1. Step 1: Write the proportion equation
   85,452 : 186,996 = 186,996 : x
2. Step 2: Convert to fraction form
   85,452/186,996 = 186,996/x
3. Step 3: Cross multiply
   85,452x = 186,996 × 186,996
4. Step 4: Simplify right side
   85,452x = 34,967,504,016
5. Step 5: Solve for x
   x = 34,967,504,016/85,452
6. Step 6: Final answer
   x = 409,206.39