Finding the Third Proportional to 80,844 and 172,680

Step by Step Solution

1. Step 1: Write the proportion equation
   80,844 : 172,680 = 172,680 : x
2. Step 2: Convert to fraction form
   80,844/172,680 = 172,680/x
3. Step 3: Cross multiply
   80,844x = 172,680 × 172,680
4. Step 4: Simplify right side
   80,844x = 29,818,382,400
5. Step 5: Solve for x
   x = 29,818,382,400/80,844
6. Step 6: Final answer
   x = 368,838.53