Finding the Third Proportional to 202,538 and 443,216

Step by Step Solution

1. Step 1: Write the proportion equation
   202,538 : 443,216 = 443,216 : x
2. Step 2: Convert to fraction form
   202,538/443,216 = 443,216/x
3. Step 3: Cross multiply
   202,538x = 443,216 × 443,216
4. Step 4: Simplify right side
   202,538x = 196,440,422,656
5. Step 5: Solve for x
   x = 196,440,422,656/202,538
6. Step 6: Final answer
   x = 969,894.16