Finding the Third Proportional to 80,700 and 172,478

Step by Step Solution

1. Step 1: Write the proportion equation
   80,700 : 172,478 = 172,478 : x
2. Step 2: Convert to fraction form
   80,700/172,478 = 172,478/x
3. Step 3: Cross multiply
   80,700x = 172,478 × 172,478
4. Step 4: Simplify right side
   80,700x = 29,748,660,484
5. Step 5: Solve for x
   x = 29,748,660,484/80,700
6. Step 6: Final answer
   x = 368,632.72