Finding the Third Proportional to 144,256 and 311,552

Step by Step Solution

1. Step 1: Write the proportion equation
   144,256 : 311,552 = 311,552 : x
2. Step 2: Convert to fraction form
   144,256/311,552 = 311,552/x
3. Step 3: Cross multiply
   144,256x = 311,552 × 311,552
4. Step 4: Simplify right side
   144,256x = 97,064,648,704
5. Step 5: Solve for x
   x = 97,064,648,704/144,256
6. Step 6: Final answer
   x = 672,863.86