Finding the Third Proportional to 96,680 and 159,105

Step by Step Solution

1. Step 1: Write the proportion equation
   96,680 : 159,105 = 159,105 : x
2. Step 2: Convert to fraction form
   96,680/159,105 = 159,105/x
3. Step 3: Cross multiply
   96,680x = 159,105 × 159,105
4. Step 4: Simplify right side
   96,680x = 25,314,401,025
5. Step 5: Solve for x
   x = 25,314,401,025/96,680
6. Step 6: Final answer
   x = 261,837.00