Finding the Third Proportional to 476,580 and 743,004

Step by Step Solution

1. Step 1: Write the proportion equation
   476,580 : 743,004 = 743,004 : x
2. Step 2: Convert to fraction form
   476,580/743,004 = 743,004/x
3. Step 3: Cross multiply
   476,580x = 743,004 × 743,004
4. Step 4: Simplify right side
   476,580x = 552,054,944,016
5. Step 5: Solve for x
   x = 552,054,944,016/476,580
6. Step 6: Final answer
   x = 1,158,367.84