Finding the Third Proportional to 108,519 and 158,538

Step by Step Solution

1. Step 1: Write the proportion equation
   108,519 : 158,538 = 158,538 : x
2. Step 2: Convert to fraction form
   108,519/158,538 = 158,538/x
3. Step 3: Cross multiply
   108,519x = 158,538 × 158,538
4. Step 4: Simplify right side
   108,519x = 25,134,297,444
5. Step 5: Solve for x
   x = 25,134,297,444/108,519
6. Step 6: Final answer
   x = 231,611.95