Finding the Third Proportional to 83,168 and 179,992

Step by Step Solution

1. Step 1: Write the proportion equation
   83,168 : 179,992 = 179,992 : x
2. Step 2: Convert to fraction form
   83,168/179,992 = 179,992/x
3. Step 3: Cross multiply
   83,168x = 179,992 × 179,992
4. Step 4: Simplify right side
   83,168x = 32,397,120,064
5. Step 5: Solve for x
   x = 32,397,120,064/83,168
6. Step 6: Final answer
   x = 389,538.28