Finding the Third Proportional to 105,496 and 161,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,496 : 161,380 = 161,380 : x
2. Step 2: Convert to fraction form
   105,496/161,380 = 161,380/x
3. Step 3: Cross multiply
   105,496x = 161,380 × 161,380
4. Step 4: Simplify right side
   105,496x = 26,043,504,400
5. Step 5: Solve for x
   x = 26,043,504,400/105,496
6. Step 6: Final answer
   x = 246,867.22