Finding the Third Proportional to 83,108 and 158,561

Step by Step Solution

1. Step 1: Write the proportion equation
   83,108 : 158,561 = 158,561 : x
2. Step 2: Convert to fraction form
   83,108/158,561 = 158,561/x
3. Step 3: Cross multiply
   83,108x = 158,561 × 158,561
4. Step 4: Simplify right side
   83,108x = 25,141,590,721
5. Step 5: Solve for x
   x = 25,141,590,721/83,108
6. Step 6: Final answer
   x = 302,517.09