Finding the Third Proportional to 105,538 and 160,980

Step by Step Solution

1. Step 1: Write the proportion equation
   105,538 : 160,980 = 160,980 : x
2. Step 2: Convert to fraction form
   105,538/160,980 = 160,980/x
3. Step 3: Cross multiply
   105,538x = 160,980 × 160,980
4. Step 4: Simplify right side
   105,538x = 25,914,560,400
5. Step 5: Solve for x
   x = 25,914,560,400/105,538
6. Step 6: Final answer
   x = 245,547.20