Finding the Third Proportional to 83,208 and 181,968

Step by Step Solution

1. Step 1: Write the proportion equation
   83,208 : 181,968 = 181,968 : x
2. Step 2: Convert to fraction form
   83,208/181,968 = 181,968/x
3. Step 3: Cross multiply
   83,208x = 181,968 × 181,968
4. Step 4: Simplify right side
   83,208x = 33,112,353,024
5. Step 5: Solve for x
   x = 33,112,353,024/83,208
6. Step 6: Final answer
   x = 397,946.75