Finding the Third Proportional to 85,867 and 187,996

Step by Step Solution

1. Step 1: Write the proportion equation
   85,867 : 187,996 = 187,996 : x
2. Step 2: Convert to fraction form
   85,867/187,996 = 187,996/x
3. Step 3: Cross multiply
   85,867x = 187,996 × 187,996
4. Step 4: Simplify right side
   85,867x = 35,342,496,016
5. Step 5: Solve for x
   x = 35,342,496,016/85,867
6. Step 6: Final answer
   x = 411,595.79