Finding the Third Proportional to 105,796 and 158,710

Step by Step Solution

1. Step 1: Write the proportion equation
   105,796 : 158,710 = 158,710 : x
2. Step 2: Convert to fraction form
   105,796/158,710 = 158,710/x
3. Step 3: Cross multiply
   105,796x = 158,710 × 158,710
4. Step 4: Simplify right side
   105,796x = 25,188,864,100
5. Step 5: Solve for x
   x = 25,188,864,100/105,796
6. Step 6: Final answer
   x = 238,089.00