Finding the Third Proportional to 105,738.75 and 161,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738.75 : 161,956.50 = 161,956.50 : x
2. Step 2: Convert to fraction form
   105,738.75/161,956.50 = 161,956.50/x
3. Step 3: Cross multiply
   105,738.75x = 161,956.50 × 161,956.50
4. Step 4: Simplify right side
   105,738.75x = 26,229,907,892.25
5. Step 5: Solve for x
   x = 26,229,907,892.25/105,738.75
6. Step 6: Final answer
   x = 248,063.34