Finding the Third Proportional to 105,764 and 161,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,764 : 161,995.50 = 161,995.50 : x
2. Step 2: Convert to fraction form
   105,764/161,995.50 = 161,995.50/x
3. Step 3: Cross multiply
   105,764x = 161,995.50 × 161,995.50
4. Step 4: Simplify right side
   105,764x = 26,242,542,020.25
5. Step 5: Solve for x
   x = 26,242,542,020.25/105,764
6. Step 6: Final answer
   x = 248,123.58