Finding the Third Proportional to 186,579 and 408,150

Step by Step Solution

1. Step 1: Write the proportion equation
   186,579 : 408,150 = 408,150 : x
2. Step 2: Convert to fraction form
   186,579/408,150 = 408,150/x
3. Step 3: Cross multiply
   186,579x = 408,150 × 408,150
4. Step 4: Simplify right side
   186,579x = 166,586,422,500
5. Step 5: Solve for x
   x = 166,586,422,500/186,579
6. Step 6: Final answer
   x = 892,846.58