Finding the Third Proportional to 105,328 and 166,760

Step by Step Solution

1. Step 1: Write the proportion equation
   105,328 : 166,760 = 166,760 : x
2. Step 2: Convert to fraction form
   105,328/166,760 = 166,760/x
3. Step 3: Cross multiply
   105,328x = 166,760 × 166,760
4. Step 4: Simplify right side
   105,328x = 27,808,897,600
5. Step 5: Solve for x
   x = 27,808,897,600/105,328
6. Step 6: Final answer
   x = 264,021.89