Finding the Third Proportional to 202,338 and 443,221

Step by Step Solution

1. Step 1: Write the proportion equation
   202,338 : 443,221 = 443,221 : x
2. Step 2: Convert to fraction form
   202,338/443,221 = 443,221/x
3. Step 3: Cross multiply
   202,338x = 443,221 × 443,221
4. Step 4: Simplify right side
   202,338x = 196,444,854,841
5. Step 5: Solve for x
   x = 196,444,854,841/202,338
6. Step 6: Final answer
   x = 970,874.75