Finding the Third Proportional to 185,954 and 407,404

Step by Step Solution

1. Step 1: Write the proportion equation
   185,954 : 407,404 = 407,404 : x
2. Step 2: Convert to fraction form
   185,954/407,404 = 407,404/x
3. Step 3: Cross multiply
   185,954x = 407,404 × 407,404
4. Step 4: Simplify right side
   185,954x = 165,978,019,216
5. Step 5: Solve for x
   x = 165,978,019,216/185,954
6. Step 6: Final answer
   x = 892,575.69