Finding the Third Proportional to 83,816 and 182,608

Step by Step Solution

1. Step 1: Write the proportion equation
   83,816 : 182,608 = 182,608 : x
2. Step 2: Convert to fraction form
   83,816/182,608 = 182,608/x
3. Step 3: Cross multiply
   83,816x = 182,608 × 182,608
4. Step 4: Simplify right side
   83,816x = 33,345,681,664
5. Step 5: Solve for x
   x = 33,345,681,664/83,816
6. Step 6: Final answer
   x = 397,843.87