Finding the Third Proportional to 174,838 and 383,038

Step by Step Solution

1. Step 1: Write the proportion equation
   174,838 : 383,038 = 383,038 : x
2. Step 2: Convert to fraction form
   174,838/383,038 = 383,038/x
3. Step 3: Cross multiply
   174,838x = 383,038 × 383,038
4. Step 4: Simplify right side
   174,838x = 146,718,109,444
5. Step 5: Solve for x
   x = 146,718,109,444/174,838
6. Step 6: Final answer
   x = 839,166.02