Finding the Third Proportional to 174,942 and 383,508

Step by Step Solution

1. Step 1: Write the proportion equation
   174,942 : 383,508 = 383,508 : x
2. Step 2: Convert to fraction form
   174,942/383,508 = 383,508/x
3. Step 3: Cross multiply
   174,942x = 383,508 × 383,508
4. Step 4: Simplify right side
   174,942x = 147,078,386,064
5. Step 5: Solve for x
   x = 147,078,386,064/174,942
6. Step 6: Final answer
   x = 840,726.56