Finding the Third Proportional to 201,894 and 443,589

Step by Step Solution

1. Step 1: Write the proportion equation
   201,894 : 443,589 = 443,589 : x
2. Step 2: Convert to fraction form
   201,894/443,589 = 443,589/x
3. Step 3: Cross multiply
   201,894x = 443,589 × 443,589
4. Step 4: Simplify right side
   201,894x = 196,771,200,921
5. Step 5: Solve for x
   x = 196,771,200,921/201,894
6. Step 6: Final answer
   x = 974,626.29