Finding the Third Proportional to 80,769 and 166,064

Step by Step Solution

1. Step 1: Write the proportion equation
   80,769 : 166,064 = 166,064 : x
2. Step 2: Convert to fraction form
   80,769/166,064 = 166,064/x
3. Step 3: Cross multiply
   80,769x = 166,064 × 166,064
4. Step 4: Simplify right side
   80,769x = 27,577,252,096
5. Step 5: Solve for x
   x = 27,577,252,096/80,769
6. Step 6: Final answer
   x = 341,433.62