Finding the Third Proportional to 73,944 and 158,256

Step by Step Solution

1. Step 1: Write the proportion equation
   73,944 : 158,256 = 158,256 : x
2. Step 2: Convert to fraction form
   73,944/158,256 = 158,256/x
3. Step 3: Cross multiply
   73,944x = 158,256 × 158,256
4. Step 4: Simplify right side
   73,944x = 25,044,961,536
5. Step 5: Solve for x
   x = 25,044,961,536/73,944
6. Step 6: Final answer
   x = 338,701.74