Finding the Third Proportional to 289,770 and 443,262

Step by Step Solution

1. Step 1: Write the proportion equation
   289,770 : 443,262 = 443,262 : x
2. Step 2: Convert to fraction form
   289,770/443,262 = 443,262/x
3. Step 3: Cross multiply
   289,770x = 443,262 × 443,262
4. Step 4: Simplify right side
   289,770x = 196,481,200,644
5. Step 5: Solve for x
   x = 196,481,200,644/289,770
6. Step 6: Final answer
   x = 678,059.15