Finding the Third Proportional to 174,996 and 383,890

Step by Step Solution

1. Step 1: Write the proportion equation
   174,996 : 383,890 = 383,890 : x
2. Step 2: Convert to fraction form
   174,996/383,890 = 383,890/x
3. Step 3: Cross multiply
   174,996x = 383,890 × 383,890
4. Step 4: Simplify right side
   174,996x = 147,371,532,100
5. Step 5: Solve for x
   x = 147,371,532,100/174,996
6. Step 6: Final answer
   x = 842,142.29