Finding the Third Proportional to 83,072 and 181,696

Step by Step Solution

1. Step 1: Write the proportion equation
   83,072 : 181,696 = 181,696 : x
2. Step 2: Convert to fraction form
   83,072/181,696 = 181,696/x
3. Step 3: Cross multiply
   83,072x = 181,696 × 181,696
4. Step 4: Simplify right side
   83,072x = 33,013,436,416
5. Step 5: Solve for x
   x = 33,013,436,416/83,072
6. Step 6: Final answer
   x = 397,407.51