Finding the Third Proportional to 176,204 and 384,058

Step by Step Solution

1. Step 1: Write the proportion equation
   176,204 : 384,058 = 384,058 : x
2. Step 2: Convert to fraction form
   176,204/384,058 = 384,058/x
3. Step 3: Cross multiply
   176,204x = 384,058 × 384,058
4. Step 4: Simplify right side
   176,204x = 147,500,547,364
5. Step 5: Solve for x
   x = 147,500,547,364/176,204
6. Step 6: Final answer
   x = 837,101.02