Finding the Third Proportional to 175,058 and 384,014

Step by Step Solution

1. Step 1: Write the proportion equation
   175,058 : 384,014 = 384,014 : x
2. Step 2: Convert to fraction form
   175,058/384,014 = 384,014/x
3. Step 3: Cross multiply
   175,058x = 384,014 × 384,014
4. Step 4: Simplify right side
   175,058x = 147,466,752,196
5. Step 5: Solve for x
   x = 147,466,752,196/175,058
6. Step 6: Final answer
   x = 842,387.96