Finding the Third Proportional to 82,771 and 181,946

Step by Step Solution

1. Step 1: Write the proportion equation
   82,771 : 181,946 = 181,946 : x
2. Step 2: Convert to fraction form
   82,771/181,946 = 181,946/x
3. Step 3: Cross multiply
   82,771x = 181,946 × 181,946
4. Step 4: Simplify right side
   82,771x = 33,104,346,916
5. Step 5: Solve for x
   x = 33,104,346,916/82,771
6. Step 6: Final answer
   x = 399,951.03