Finding the Third Proportional to 83,544 and 181,812

Step by Step Solution

1. Step 1: Write the proportion equation
   83,544 : 181,812 = 181,812 : x
2. Step 2: Convert to fraction form
   83,544/181,812 = 181,812/x
3. Step 3: Cross multiply
   83,544x = 181,812 × 181,812
4. Step 4: Simplify right side
   83,544x = 33,055,603,344
5. Step 5: Solve for x
   x = 33,055,603,344/83,544
6. Step 6: Final answer
   x = 395,666.99