Finding the Third Proportional to 82,869 and 181,412

Step by Step Solution

1. Step 1: Write the proportion equation
   82,869 : 181,412 = 181,412 : x
2. Step 2: Convert to fraction form
   82,869/181,412 = 181,412/x
3. Step 3: Cross multiply
   82,869x = 181,412 × 181,412
4. Step 4: Simplify right side
   82,869x = 32,910,313,744
5. Step 5: Solve for x
   x = 32,910,313,744/82,869
6. Step 6: Final answer
   x = 397,136.61