Finding the Third Proportional to 181,152 and 372,384

Step by Step Solution

1. Step 1: Write the proportion equation
   181,152 : 372,384 = 372,384 : x
2. Step 2: Convert to fraction form
   181,152/372,384 = 372,384/x
3. Step 3: Cross multiply
   181,152x = 372,384 × 372,384
4. Step 4: Simplify right side
   181,152x = 138,669,843,456
5. Step 5: Solve for x
   x = 138,669,843,456/181,152
6. Step 6: Final answer
   x = 765,488.89