Finding the Third Proportional to 81,002 and 166,012

Step by Step Solution

1. Step 1: Write the proportion equation
   81,002 : 166,012 = 166,012 : x
2. Step 2: Convert to fraction form
   81,002/166,012 = 166,012/x
3. Step 3: Cross multiply
   81,002x = 166,012 × 166,012
4. Step 4: Simplify right side
   81,002x = 27,559,984,144
5. Step 5: Solve for x
   x = 27,559,984,144/81,002
6. Step 6: Final answer
   x = 340,238.32