Finding the Third Proportional to 81,944 and 123,670

Step by Step Solution

1. Step 1: Write the proportion equation
   81,944 : 123,670 = 123,670 : x
2. Step 2: Convert to fraction form
   81,944/123,670 = 123,670/x
3. Step 3: Cross multiply
   81,944x = 123,670 × 123,670
4. Step 4: Simplify right side
   81,944x = 15,294,268,900
5. Step 5: Solve for x
   x = 15,294,268,900/81,944
6. Step 6: Final answer
   x = 186,642.94