Finding the Third Proportional to 85,452 and 186,992

Step by Step Solution

1. Step 1: Write the proportion equation
   85,452 : 186,992 = 186,992 : x
2. Step 2: Convert to fraction form
   85,452/186,992 = 186,992/x
3. Step 3: Cross multiply
   85,452x = 186,992 × 186,992
4. Step 4: Simplify right side
   85,452x = 34,966,008,064
5. Step 5: Solve for x
   x = 34,966,008,064/85,452
6. Step 6: Final answer
   x = 409,188.88