Finding the Third Proportional to 83,534 and 173,980

Step by Step Solution

1. Step 1: Write the proportion equation
   83,534 : 173,980 = 173,980 : x
2. Step 2: Convert to fraction form
   83,534/173,980 = 173,980/x
3. Step 3: Cross multiply
   83,534x = 173,980 × 173,980
4. Step 4: Simplify right side
   83,534x = 30,269,040,400
5. Step 5: Solve for x
   x = 30,269,040,400/83,534
6. Step 6: Final answer
   x = 362,355.93