Finding the Third Proportional to 105,031 and 161,441

Step by Step Solution

1. Step 1: Write the proportion equation
   105,031 : 161,441 = 161,441 : x
2. Step 2: Convert to fraction form
   105,031/161,441 = 161,441/x
3. Step 3: Cross multiply
   105,031x = 161,441 × 161,441
4. Step 4: Simplify right side
   105,031x = 26,063,196,481
5. Step 5: Solve for x
   x = 26,063,196,481/105,031
6. Step 6: Final answer
   x = 248,147.66