Finding the Third Proportional to 101,032 and 158,496

Step by Step Solution

1. Step 1: Write the proportion equation
   101,032 : 158,496 = 158,496 : x
2. Step 2: Convert to fraction form
   101,032/158,496 = 158,496/x
3. Step 3: Cross multiply
   101,032x = 158,496 × 158,496
4. Step 4: Simplify right side
   101,032x = 25,120,982,016
5. Step 5: Solve for x
   x = 25,120,982,016/101,032
6. Step 6: Final answer
   x = 248,643.82