Finding the Third Proportional to 105,747 and 161,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,747 : 161,968.50 = 161,968.50 : x
2. Step 2: Convert to fraction form
   105,747/161,968.50 = 161,968.50/x
3. Step 3: Cross multiply
   105,747x = 161,968.50 × 161,968.50
4. Step 4: Simplify right side
   105,747x = 26,233,794,992.25
5. Step 5: Solve for x
   x = 26,233,794,992.25/105,747
6. Step 6: Final answer
   x = 248,080.75