Finding the Third Proportional to 105,279 and 161,984

Step by Step Solution

1. Step 1: Write the proportion equation
   105,279 : 161,984 = 161,984 : x
2. Step 2: Convert to fraction form
   105,279/161,984 = 161,984/x
3. Step 3: Cross multiply
   105,279x = 161,984 × 161,984
4. Step 4: Simplify right side
   105,279x = 26,238,816,256
5. Step 5: Solve for x
   x = 26,238,816,256/105,279
6. Step 6: Final answer
   x = 249,231.25