Finding the Third Proportional to 105,788 and 158,698

Step by Step Solution

1. Step 1: Write the proportion equation
   105,788 : 158,698 = 158,698 : x
2. Step 2: Convert to fraction form
   105,788/158,698 = 158,698/x
3. Step 3: Cross multiply
   105,788x = 158,698 × 158,698
4. Step 4: Simplify right side
   105,788x = 25,185,055,204
5. Step 5: Solve for x
   x = 25,185,055,204/105,788
6. Step 6: Final answer
   x = 238,071.00