Finding the Third Proportional to 205,046 and 443,778

Step by Step Solution

1. Step 1: Write the proportion equation
   205,046 : 443,778 = 443,778 : x
2. Step 2: Convert to fraction form
   205,046/443,778 = 443,778/x
3. Step 3: Cross multiply
   205,046x = 443,778 × 443,778
4. Step 4: Simplify right side
   205,046x = 196,938,913,284
5. Step 5: Solve for x
   x = 196,938,913,284/205,046
6. Step 6: Final answer
   x = 960,462.11