Finding the Third Proportional to 102,960 and 152,568

Step by Step Solution

1. Step 1: Write the proportion equation
   102,960 : 152,568 = 152,568 : x
2. Step 2: Convert to fraction form
   102,960/152,568 = 152,568/x
3. Step 3: Cross multiply
   102,960x = 152,568 × 152,568
4. Step 4: Simplify right side
   102,960x = 23,276,994,624
5. Step 5: Solve for x
   x = 23,276,994,624/102,960
6. Step 6: Final answer
   x = 226,078.04