Finding the Third Proportional to 185,580 and 397,404

Step by Step Solution

1. Step 1: Write the proportion equation
   185,580 : 397,404 = 397,404 : x
2. Step 2: Convert to fraction form
   185,580/397,404 = 397,404/x
3. Step 3: Cross multiply
   185,580x = 397,404 × 397,404
4. Step 4: Simplify right side
   185,580x = 157,929,939,216
5. Step 5: Solve for x
   x = 157,929,939,216/185,580
6. Step 6: Final answer
   x = 851,007.32