Finding the Third Proportional to 202,538 and 443,198

Step by Step Solution

1. Step 1: Write the proportion equation
   202,538 : 443,198 = 443,198 : x
2. Step 2: Convert to fraction form
   202,538/443,198 = 443,198/x
3. Step 3: Cross multiply
   202,538x = 443,198 × 443,198
4. Step 4: Simplify right side
   202,538x = 196,424,467,204
5. Step 5: Solve for x
   x = 196,424,467,204/202,538
6. Step 6: Final answer
   x = 969,815.38