Finding the Third Proportional to 81,786 and 167,012

Step by Step Solution

1. Step 1: Write the proportion equation
   81,786 : 167,012 = 167,012 : x
2. Step 2: Convert to fraction form
   81,786/167,012 = 167,012/x
3. Step 3: Cross multiply
   81,786x = 167,012 × 167,012
4. Step 4: Simplify right side
   81,786x = 27,893,008,144
5. Step 5: Solve for x
   x = 27,893,008,144/81,786
6. Step 6: Final answer
   x = 341,048.69