Finding the Third Proportional to 205,626 and 475,996

Step by Step Solution

1. Step 1: Write the proportion equation
   205,626 : 475,996 = 475,996 : x
2. Step 2: Convert to fraction form
   205,626/475,996 = 475,996/x
3. Step 3: Cross multiply
   205,626x = 475,996 × 475,996
4. Step 4: Simplify right side
   205,626x = 226,572,192,016
5. Step 5: Solve for x
   x = 226,572,192,016/205,626
6. Step 6: Final answer
   x = 1,101,865.48