Finding the Third Proportional to 78,960 and 172,680

Step by Step Solution

1. Step 1: Write the proportion equation
   78,960 : 172,680 = 172,680 : x
2. Step 2: Convert to fraction form
   78,960/172,680 = 172,680/x
3. Step 3: Cross multiply
   78,960x = 172,680 × 172,680
4. Step 4: Simplify right side
   78,960x = 29,818,382,400
5. Step 5: Solve for x
   x = 29,818,382,400/78,960
6. Step 6: Final answer
   x = 377,639.09