Finding the Third Proportional to 83,427 and 179,976

Step by Step Solution

1. Step 1: Write the proportion equation
   83,427 : 179,976 = 179,976 : x
2. Step 2: Convert to fraction form
   83,427/179,976 = 179,976/x
3. Step 3: Cross multiply
   83,427x = 179,976 × 179,976
4. Step 4: Simplify right side
   83,427x = 32,391,360,576
5. Step 5: Solve for x
   x = 32,391,360,576/83,427
6. Step 6: Final answer
   x = 388,259.92