Finding the Third Proportional to 83,556 and 173,998

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 173,998 = 173,998 : x
2. Step 2: Convert to fraction form
   83,556/173,998 = 173,998/x
3. Step 3: Cross multiply
   83,556x = 173,998 × 173,998
4. Step 4: Simplify right side
   83,556x = 30,275,304,004
5. Step 5: Solve for x
   x = 30,275,304,004/83,556
6. Step 6: Final answer
   x = 362,335.49