Finding the Third Proportional to 289,242 and 443,706

Step by Step Solution

1. Step 1: Write the proportion equation
   289,242 : 443,706 = 443,706 : x
2. Step 2: Convert to fraction form
   289,242/443,706 = 443,706/x
3. Step 3: Cross multiply
   289,242x = 443,706 × 443,706
4. Step 4: Simplify right side
   289,242x = 196,875,014,436
5. Step 5: Solve for x
   x = 196,875,014,436/289,242
6. Step 6: Final answer
   x = 680,658.46