Finding the Third Proportional to 105,093 and 158,729

Step by Step Solution

1. Step 1: Write the proportion equation
   105,093 : 158,729 = 158,729 : x
2. Step 2: Convert to fraction form
   105,093/158,729 = 158,729/x
3. Step 3: Cross multiply
   105,093x = 158,729 × 158,729
4. Step 4: Simplify right side
   105,093x = 25,194,895,441
5. Step 5: Solve for x
   x = 25,194,895,441/105,093
6. Step 6: Final answer
   x = 239,739.04