Finding the Third Proportional to 205,158 and 462,996

Step by Step Solution

1. Step 1: Write the proportion equation
   205,158 : 462,996 = 462,996 : x
2. Step 2: Convert to fraction form
   205,158/462,996 = 462,996/x
3. Step 3: Cross multiply
   205,158x = 462,996 × 462,996
4. Step 4: Simplify right side
   205,158x = 214,365,296,016
5. Step 5: Solve for x
   x = 214,365,296,016/205,158
6. Step 6: Final answer
   x = 1,044,879.05