Finding the Third Proportional to 105,117.75 and 158,933.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,117.75 : 158,933.25 = 158,933.25 : x
2. Step 2: Convert to fraction form
   105,117.75/158,933.25 = 158,933.25/x
3. Step 3: Cross multiply
   105,117.75x = 158,933.25 × 158,933.25
4. Step 4: Simplify right side
   105,117.75x = 25,259,777,955.56
5. Step 5: Solve for x
   x = 25,259,777,955.56/105,117.75
6. Step 6: Final answer
   x = 240,299.83