Finding the Third Proportional to 80,294 and 166,960

Step by Step Solution

1. Step 1: Write the proportion equation
   80,294 : 166,960 = 166,960 : x
2. Step 2: Convert to fraction form
   80,294/166,960 = 166,960/x
3. Step 3: Cross multiply
   80,294x = 166,960 × 166,960
4. Step 4: Simplify right side
   80,294x = 27,875,641,600
5. Step 5: Solve for x
   x = 27,875,641,600/80,294
6. Step 6: Final answer
   x = 347,169.67