Finding the Third Proportional to 101,142 and 158,642

Step by Step Solution

1. Step 1: Write the proportion equation
   101,142 : 158,642 = 158,642 : x
2. Step 2: Convert to fraction form
   101,142/158,642 = 158,642/x
3. Step 3: Cross multiply
   101,142x = 158,642 × 158,642
4. Step 4: Simplify right side
   101,142x = 25,167,284,164
5. Step 5: Solve for x
   x = 25,167,284,164/101,142
6. Step 6: Final answer
   x = 248,831.19