Finding the Third Proportional to 83,438 and 179,996

Step by Step Solution

1. Step 1: Write the proportion equation
   83,438 : 179,996 = 179,996 : x
2. Step 2: Convert to fraction form
   83,438/179,996 = 179,996/x
3. Step 3: Cross multiply
   83,438x = 179,996 × 179,996
4. Step 4: Simplify right side
   83,438x = 32,398,560,016
5. Step 5: Solve for x
   x = 32,398,560,016/83,438
6. Step 6: Final answer
   x = 388,295.02