Finding the Third Proportional to 174,816 and 383,256

Step by Step Solution

1. Step 1: Write the proportion equation
   174,816 : 383,256 = 383,256 : x
2. Step 2: Convert to fraction form
   174,816/383,256 = 383,256/x
3. Step 3: Cross multiply
   174,816x = 383,256 × 383,256
4. Step 4: Simplify right side
   174,816x = 146,885,161,536
5. Step 5: Solve for x
   x = 146,885,161,536/174,816
6. Step 6: Final answer
   x = 840,227.22