Finding the Third Proportional to 172,874 and 375,256

Step by Step Solution

1. Step 1: Write the proportion equation
   172,874 : 375,256 = 375,256 : x
2. Step 2: Convert to fraction form
   172,874/375,256 = 375,256/x
3. Step 3: Cross multiply
   172,874x = 375,256 × 375,256
4. Step 4: Simplify right side
   172,874x = 140,817,065,536
5. Step 5: Solve for x
   x = 140,817,065,536/172,874
6. Step 6: Final answer
   x = 814,564.74