Finding the Third Proportional to 181,436 and 384,832

Step by Step Solution

1. Step 1: Write the proportion equation
   181,436 : 384,832 = 384,832 : x
2. Step 2: Convert to fraction form
   181,436/384,832 = 384,832/x
3. Step 3: Cross multiply
   181,436x = 384,832 × 384,832
4. Step 4: Simplify right side
   181,436x = 148,095,668,224
5. Step 5: Solve for x
   x = 148,095,668,224/181,436
6. Step 6: Final answer
   x = 816,241.92