Finding the Third Proportional to 81,760 and 166,960

Step by Step Solution

1. Step 1: Write the proportion equation
   81,760 : 166,960 = 166,960 : x
2. Step 2: Convert to fraction form
   81,760/166,960 = 166,960/x
3. Step 3: Cross multiply
   81,760x = 166,960 × 166,960
4. Step 4: Simplify right side
   81,760x = 27,875,641,600
5. Step 5: Solve for x
   x = 27,875,641,600/81,760
6. Step 6: Final answer
   x = 340,944.74