Finding the Third Proportional to 285,228 and 443,442

Step by Step Solution

1. Step 1: Write the proportion equation
   285,228 : 443,442 = 443,442 : x
2. Step 2: Convert to fraction form
   285,228/443,442 = 443,442/x
3. Step 3: Cross multiply
   285,228x = 443,442 × 443,442
4. Step 4: Simplify right side
   285,228x = 196,640,807,364
5. Step 5: Solve for x
   x = 196,640,807,364/285,228
6. Step 6: Final answer
   x = 689,416.21