Finding the Third Proportional to 345,384 and 743,256

Step by Step Solution

1. Step 1: Write the proportion equation
   345,384 : 743,256 = 743,256 : x
2. Step 2: Convert to fraction form
   345,384/743,256 = 743,256/x
3. Step 3: Cross multiply
   345,384x = 743,256 × 743,256
4. Step 4: Simplify right side
   345,384x = 552,429,481,536
5. Step 5: Solve for x
   x = 552,429,481,536/345,384
6. Step 6: Final answer
   x = 1,599,464.60