Finding the Third Proportional to 81,686 and 175,886

Step by Step Solution

1. Step 1: Write the proportion equation
   81,686 : 175,886 = 175,886 : x
2. Step 2: Convert to fraction form
   81,686/175,886 = 175,886/x
3. Step 3: Cross multiply
   81,686x = 175,886 × 175,886
4. Step 4: Simplify right side
   81,686x = 30,935,884,996
5. Step 5: Solve for x
   x = 30,935,884,996/81,686
6. Step 6: Final answer
   x = 378,717.10