Finding the Third Proportional to 82,326 and 181,788

Step by Step Solution

1. Step 1: Write the proportion equation
   82,326 : 181,788 = 181,788 : x
2. Step 2: Convert to fraction form
   82,326/181,788 = 181,788/x
3. Step 3: Cross multiply
   82,326x = 181,788 × 181,788
4. Step 4: Simplify right side
   82,326x = 33,046,876,944
5. Step 5: Solve for x
   x = 33,046,876,944/82,326
6. Step 6: Final answer
   x = 401,414.83