Finding the Third Proportional to 71,566 and 166,014

Step by Step Solution

1. Step 1: Write the proportion equation
   71,566 : 166,014 = 166,014 : x
2. Step 2: Convert to fraction form
   71,566/166,014 = 166,014/x
3. Step 3: Cross multiply
   71,566x = 166,014 × 166,014
4. Step 4: Simplify right side
   71,566x = 27,560,648,196
5. Step 5: Solve for x
   x = 27,560,648,196/71,566
6. Step 6: Final answer
   x = 385,108.13