Finding the Third Proportional to 201,822 and 443,004

Step by Step Solution

1. Step 1: Write the proportion equation
   201,822 : 443,004 = 443,004 : x
2. Step 2: Convert to fraction form
   201,822/443,004 = 443,004/x
3. Step 3: Cross multiply
   201,822x = 443,004 × 443,004
4. Step 4: Simplify right side
   201,822x = 196,252,544,016
5. Step 5: Solve for x
   x = 196,252,544,016/201,822
6. Step 6: Final answer
   x = 972,404.12