Finding the Third Proportional to 174,936 and 383,496

Step by Step Solution

1. Step 1: Write the proportion equation
   174,936 : 383,496 = 383,496 : x
2. Step 2: Convert to fraction form
   174,936/383,496 = 383,496/x
3. Step 3: Cross multiply
   174,936x = 383,496 × 383,496
4. Step 4: Simplify right side
   174,936x = 147,069,182,016
5. Step 5: Solve for x
   x = 147,069,182,016/174,936
6. Step 6: Final answer
   x = 840,702.78