Finding the Third Proportional to 205,636 and 476,004

Step by Step Solution

1. Step 1: Write the proportion equation
   205,636 : 476,004 = 476,004 : x
2. Step 2: Convert to fraction form
   205,636/476,004 = 476,004/x
3. Step 3: Cross multiply
   205,636x = 476,004 × 476,004
4. Step 4: Simplify right side
   205,636x = 226,579,808,016
5. Step 5: Solve for x
   x = 226,579,808,016/205,636
6. Step 6: Final answer
   x = 1,101,848.94