Finding the Third Proportional to 174,638 and 262,976

Step by Step Solution

1. Step 1: Write the proportion equation
   174,638 : 262,976 = 262,976 : x
2. Step 2: Convert to fraction form
   174,638/262,976 = 262,976/x
3. Step 3: Cross multiply
   174,638x = 262,976 × 262,976
4. Step 4: Simplify right side
   174,638x = 69,156,376,576
5. Step 5: Solve for x
   x = 69,156,376,576/174,638
6. Step 6: Final answer
   x = 395,998.45