Finding the Third Proportional to 205,443 and 301,077

Step by Step Solution

1. Step 1: Write the proportion equation
   205,443 : 301,077 = 301,077 : x
2. Step 2: Convert to fraction form
   205,443/301,077 = 301,077/x
3. Step 3: Cross multiply
   205,443x = 301,077 × 301,077
4. Step 4: Simplify right side
   205,443x = 90,647,359,929
5. Step 5: Solve for x
   x = 90,647,359,929/205,443
6. Step 6: Final answer
   x = 441,228.76