Finding the Third Proportional to 202,267 and 443,413

Step by Step Solution

1. Step 1: Write the proportion equation
   202,267 : 443,413 = 443,413 : x
2. Step 2: Convert to fraction form
   202,267/443,413 = 443,413/x
3. Step 3: Cross multiply
   202,267x = 443,413 × 443,413
4. Step 4: Simplify right side
   202,267x = 196,615,088,569
5. Step 5: Solve for x
   x = 196,615,088,569/202,267
6. Step 6: Final answer
   x = 972,057.17