Finding the Third Proportional to 176,838 and 384,456

Step by Step Solution

1. Step 1: Write the proportion equation
   176,838 : 384,456 = 384,456 : x
2. Step 2: Convert to fraction form
   176,838/384,456 = 384,456/x
3. Step 3: Cross multiply
   176,838x = 384,456 × 384,456
4. Step 4: Simplify right side
   176,838x = 147,806,415,936
5. Step 5: Solve for x
   x = 147,806,415,936/176,838
6. Step 6: Final answer
   x = 835,829.49