Finding the Third Proportional to 205,144 and 431,016

Step by Step Solution

1. Step 1: Write the proportion equation
   205,144 : 431,016 = 431,016 : x
2. Step 2: Convert to fraction form
   205,144/431,016 = 431,016/x
3. Step 3: Cross multiply
   205,144x = 431,016 × 431,016
4. Step 4: Simplify right side
   205,144x = 185,774,792,256
5. Step 5: Solve for x
   x = 185,774,792,256/205,144
6. Step 6: Final answer
   x = 905,582.38