Finding the Third Proportional to 289,764 and 443,256

Step by Step Solution

1. Step 1: Write the proportion equation
   289,764 : 443,256 = 443,256 : x
2. Step 2: Convert to fraction form
   289,764/443,256 = 443,256/x
3. Step 3: Cross multiply
   289,764x = 443,256 × 443,256
4. Step 4: Simplify right side
   289,764x = 196,475,881,536
5. Step 5: Solve for x
   x = 196,475,881,536/289,764
6. Step 6: Final answer
   x = 678,054.84