Finding the Third Proportional to 78,844 and 172,256

Step by Step Solution

1. Step 1: Write the proportion equation
   78,844 : 172,256 = 172,256 : x
2. Step 2: Convert to fraction form
   78,844/172,256 = 172,256/x
3. Step 3: Cross multiply
   78,844x = 172,256 × 172,256
4. Step 4: Simplify right side
   78,844x = 29,672,129,536
5. Step 5: Solve for x
   x = 29,672,129,536/78,844
6. Step 6: Final answer
   x = 376,339.73