Finding the Third Proportional to 379,022 and 829,256

Step by Step Solution

1. Step 1: Write the proportion equation
   379,022 : 829,256 = 829,256 : x
2. Step 2: Convert to fraction form
   379,022/829,256 = 829,256/x
3. Step 3: Cross multiply
   379,022x = 829,256 × 829,256
4. Step 4: Simplify right side
   379,022x = 687,665,513,536
5. Step 5: Solve for x
   x = 687,665,513,536/379,022
6. Step 6: Final answer
   x = 1,814,315.56