Finding the Third Proportional to 324,456 and 434,004

Step by Step Solution

1. Step 1: Write the proportion equation
   324,456 : 434,004 = 434,004 : x
2. Step 2: Convert to fraction form
   324,456/434,004 = 434,004/x
3. Step 3: Cross multiply
   324,456x = 434,004 × 434,004
4. Step 4: Simplify right side
   324,456x = 188,359,472,016
5. Step 5: Solve for x
   x = 188,359,472,016/324,456
6. Step 6: Final answer
   x = 580,539.34