Finding the Third Proportional to 357,256 and 714,508

Step by Step Solution

1. Step 1: Write the proportion equation
   357,256 : 714,508 = 714,508 : x
2. Step 2: Convert to fraction form
   357,256/714,508 = 714,508/x
3. Step 3: Cross multiply
   357,256x = 714,508 × 714,508
4. Step 4: Simplify right side
   357,256x = 510,521,682,064
5. Step 5: Solve for x
   x = 510,521,682,064/357,256
6. Step 6: Final answer
   x = 1,429,008.00