Finding the Third Proportional to 181,434 and 384,828

Step by Step Solution

1. Step 1: Write the proportion equation
   181,434 : 384,828 = 384,828 : x
2. Step 2: Convert to fraction form
   181,434/384,828 = 384,828/x
3. Step 3: Cross multiply
   181,434x = 384,828 × 384,828
4. Step 4: Simplify right side
   181,434x = 148,092,589,584
5. Step 5: Solve for x
   x = 148,092,589,584/181,434
6. Step 6: Final answer
   x = 816,233.95