Finding the Third Proportional to 202,566 and 443,272

Step by Step Solution

1. Step 1: Write the proportion equation
   202,566 : 443,272 = 443,272 : x
2. Step 2: Convert to fraction form
   202,566/443,272 = 443,272/x
3. Step 3: Cross multiply
   202,566x = 443,272 × 443,272
4. Step 4: Simplify right side
   202,566x = 196,490,065,984
5. Step 5: Solve for x
   x = 196,490,065,984/202,566
6. Step 6: Final answer
   x = 970,005.16