Finding the Third Proportional to 175,923 and 384,105

Step by Step Solution

1. Step 1: Write the proportion equation
   175,923 : 384,105 = 384,105 : x
2. Step 2: Convert to fraction form
   175,923/384,105 = 384,105/x
3. Step 3: Cross multiply
   175,923x = 384,105 × 384,105
4. Step 4: Simplify right side
   175,923x = 147,536,651,025
5. Step 5: Solve for x
   x = 147,536,651,025/175,923
6. Step 6: Final answer
   x = 838,643.33