Finding the Third Proportional to 354,884 and 536,004

Step by Step Solution

1. Step 1: Write the proportion equation
   354,884 : 536,004 = 536,004 : x
2. Step 2: Convert to fraction form
   354,884/536,004 = 536,004/x
3. Step 3: Cross multiply
   354,884x = 536,004 × 536,004
4. Step 4: Simplify right side
   354,884x = 287,300,288,016
5. Step 5: Solve for x
   x = 287,300,288,016/354,884
6. Step 6: Final answer
   x = 809,561.12