Finding the Third Proportional to 81,870 and 171,996

Step by Step Solution

1. Step 1: Write the proportion equation
   81,870 : 171,996 = 171,996 : x
2. Step 2: Convert to fraction form
   81,870/171,996 = 171,996/x
3. Step 3: Cross multiply
   81,870x = 171,996 × 171,996
4. Step 4: Simplify right side
   81,870x = 29,582,624,016
5. Step 5: Solve for x
   x = 29,582,624,016/81,870
6. Step 6: Final answer
   x = 361,336.56