Finding the Third Proportional to 101,137 and 158,648

Step by Step Solution

1. Step 1: Write the proportion equation
   101,137 : 158,648 = 158,648 : x
2. Step 2: Convert to fraction form
   101,137/158,648 = 158,648/x
3. Step 3: Cross multiply
   101,137x = 158,648 × 158,648
4. Step 4: Simplify right side
   101,137x = 25,169,187,904
5. Step 5: Solve for x
   x = 25,169,187,904/101,137
6. Step 6: Final answer
   x = 248,862.31