Finding the Third Proportional to 108,086 and 172,670

Step by Step Solution

1. Step 1: Write the proportion equation
   108,086 : 172,670 = 172,670 : x
2. Step 2: Convert to fraction form
   108,086/172,670 = 172,670/x
3. Step 3: Cross multiply
   108,086x = 172,670 × 172,670
4. Step 4: Simplify right side
   108,086x = 29,814,928,900
5. Step 5: Solve for x
   x = 29,814,928,900/108,086
6. Step 6: Final answer
   x = 275,844.50