Finding the Third Proportional to 84,180 and 185,856

Step by Step Solution

1. Step 1: Write the proportion equation
   84,180 : 185,856 = 185,856 : x
2. Step 2: Convert to fraction form
   84,180/185,856 = 185,856/x
3. Step 3: Cross multiply
   84,180x = 185,856 × 185,856
4. Step 4: Simplify right side
   84,180x = 34,542,452,736
5. Step 5: Solve for x
   x = 34,542,452,736/84,180
6. Step 6: Final answer
   x = 410,340.37