Finding the Third Proportional to 105,128 and 158,780

Step by Step Solution

1. Step 1: Write the proportion equation
   105,128 : 158,780 = 158,780 : x
2. Step 2: Convert to fraction form
   105,128/158,780 = 158,780/x
3. Step 3: Cross multiply
   105,128x = 158,780 × 158,780
4. Step 4: Simplify right side
   105,128x = 25,211,088,400
5. Step 5: Solve for x
   x = 25,211,088,400/105,128
6. Step 6: Final answer
   x = 239,813.26