Finding the Third Proportional to 102,400 and 158,928

Step by Step Solution

1. Step 1: Write the proportion equation
   102,400 : 158,928 = 158,928 : x
2. Step 2: Convert to fraction form
   102,400/158,928 = 158,928/x
3. Step 3: Cross multiply
   102,400x = 158,928 × 158,928
4. Step 4: Simplify right side
   102,400x = 25,258,109,184
5. Step 5: Solve for x
   x = 25,258,109,184/102,400
6. Step 6: Final answer
   x = 246,661.22