Finding the Third Proportional to 83,136 and 181,824

Step by Step Solution

1. Step 1: Write the proportion equation
   83,136 : 181,824 = 181,824 : x
2. Step 2: Convert to fraction form
   83,136/181,824 = 181,824/x
3. Step 3: Cross multiply
   83,136x = 181,824 × 181,824
4. Step 4: Simplify right side
   83,136x = 33,059,966,976
5. Step 5: Solve for x
   x = 33,059,966,976/83,136
6. Step 6: Final answer
   x = 397,661.27