Finding the Third Proportional to 103,424 and 158,144

Step by Step Solution

1. Step 1: Write the proportion equation
   103,424 : 158,144 = 158,144 : x
2. Step 2: Convert to fraction form
   103,424/158,144 = 158,144/x
3. Step 3: Cross multiply
   103,424x = 158,144 × 158,144
4. Step 4: Simplify right side
   103,424x = 25,009,524,736
5. Step 5: Solve for x
   x = 25,009,524,736/103,424
6. Step 6: Final answer
   x = 241,815.49