Finding the Third Proportional to 82,316 and 181,768

Step by Step Solution

1. Step 1: Write the proportion equation
   82,316 : 181,768 = 181,768 : x
2. Step 2: Convert to fraction form
   82,316/181,768 = 181,768/x
3. Step 3: Cross multiply
   82,316x = 181,768 × 181,768
4. Step 4: Simplify right side
   82,316x = 33,039,605,824
5. Step 5: Solve for x
   x = 33,039,605,824/82,316
6. Step 6: Final answer
   x = 401,375.26