Finding the Third Proportional to 201,823 and 443,006

Step by Step Solution

1. Step 1: Write the proportion equation
   201,823 : 443,006 = 443,006 : x
2. Step 2: Convert to fraction form
   201,823/443,006 = 443,006/x
3. Step 3: Cross multiply
   201,823x = 443,006 × 443,006
4. Step 4: Simplify right side
   201,823x = 196,254,316,036
5. Step 5: Solve for x
   x = 196,254,316,036/201,823
6. Step 6: Final answer
   x = 972,408.08