Finding the Third Proportional to 305,138 and 443,856

Step by Step Solution

1. Step 1: Write the proportion equation
   305,138 : 443,856 = 443,856 : x
2. Step 2: Convert to fraction form
   305,138/443,856 = 443,856/x
3. Step 3: Cross multiply
   305,138x = 443,856 × 443,856
4. Step 4: Simplify right side
   305,138x = 197,008,148,736
5. Step 5: Solve for x
   x = 197,008,148,736/305,138
6. Step 6: Final answer
   x = 645,636.23