Finding the Third Proportional to 105,124.50 and 158,780.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,124.50 : 158,780.25 = 158,780.25 : x
2. Step 2: Convert to fraction form
   105,124.50/158,780.25 = 158,780.25/x
3. Step 3: Cross multiply
   105,124.50x = 158,780.25 × 158,780.25
4. Step 4: Simplify right side
   105,124.50x = 25,211,167,790.06
5. Step 5: Solve for x
   x = 25,211,167,790.06/105,124.50
6. Step 6: Final answer
   x = 239,822.00