Finding the Third Proportional to 105,249 and 161,007

Step by Step Solution

1. Step 1: Write the proportion equation
   105,249 : 161,007 = 161,007 : x
2. Step 2: Convert to fraction form
   105,249/161,007 = 161,007/x
3. Step 3: Cross multiply
   105,249x = 161,007 × 161,007
4. Step 4: Simplify right side
   105,249x = 25,923,254,049
5. Step 5: Solve for x
   x = 25,923,254,049/105,249
6. Step 6: Final answer
   x = 246,304.04