Finding the Third Proportional to 176,569 and 384,665

Step by Step Solution

1. Step 1: Write the proportion equation
   176,569 : 384,665 = 384,665 : x
2. Step 2: Convert to fraction form
   176,569/384,665 = 384,665/x
3. Step 3: Cross multiply
   176,569x = 384,665 × 384,665
4. Step 4: Simplify right side
   176,569x = 147,967,162,225
5. Step 5: Solve for x
   x = 147,967,162,225/176,569
6. Step 6: Final answer
   x = 838,013.25