Finding the Third Proportional to 205,013 and 443,722

Step by Step Solution

1. Step 1: Write the proportion equation
   205,013 : 443,722 = 443,722 : x
2. Step 2: Convert to fraction form
   205,013/443,722 = 443,722/x
3. Step 3: Cross multiply
   205,013x = 443,722 × 443,722
4. Step 4: Simplify right side
   205,013x = 196,889,213,284
5. Step 5: Solve for x
   x = 196,889,213,284/205,013
6. Step 6: Final answer
   x = 960,374.28