Finding the Third Proportional to 86,092 and 185,200

Step by Step Solution

1. Step 1: Write the proportion equation
   86,092 : 185,200 = 185,200 : x
2. Step 2: Convert to fraction form
   86,092/185,200 = 185,200/x
3. Step 3: Cross multiply
   86,092x = 185,200 × 185,200
4. Step 4: Simplify right side
   86,092x = 34,299,040,000
5. Step 5: Solve for x
   x = 34,299,040,000/86,092
6. Step 6: Final answer
   x = 398,399.85