Finding the Third Proportional to 289,824 and 443,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   289,824 : 443,380.50 = 443,380.50 : x
2. Step 2: Convert to fraction form
   289,824/443,380.50 = 443,380.50/x
3. Step 3: Cross multiply
   289,824x = 443,380.50 × 443,380.50
4. Step 4: Simplify right side
   289,824x = 196,586,267,780.25
5. Step 5: Solve for x
   x = 196,586,267,780.25/289,824
6. Step 6: Final answer
   x = 678,295.34