Finding the Third Proportional to 81,004 and 166,016

Step by Step Solution

1. Step 1: Write the proportion equation
   81,004 : 166,016 = 166,016 : x
2. Step 2: Convert to fraction form
   81,004/166,016 = 166,016/x
3. Step 3: Cross multiply
   81,004x = 166,016 × 166,016
4. Step 4: Simplify right side
   81,004x = 27,561,312,256
5. Step 5: Solve for x
   x = 27,561,312,256/81,004
6. Step 6: Final answer
   x = 340,246.31