Finding the Third Proportional to 78,002 and 168,960

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 168,960 = 168,960 : x
2. Step 2: Convert to fraction form
   78,002/168,960 = 168,960/x
3. Step 3: Cross multiply
   78,002x = 168,960 × 168,960
4. Step 4: Simplify right side
   78,002x = 28,547,481,600
5. Step 5: Solve for x
   x = 28,547,481,600/78,002
6. Step 6: Final answer
   x = 365,983.97