Finding the Third Proportional to 80,156 and 172,380

Step by Step Solution

1. Step 1: Write the proportion equation
   80,156 : 172,380 = 172,380 : x
2. Step 2: Convert to fraction form
   80,156/172,380 = 172,380/x
3. Step 3: Cross multiply
   80,156x = 172,380 × 172,380
4. Step 4: Simplify right side
   80,156x = 29,714,864,400
5. Step 5: Solve for x
   x = 29,714,864,400/80,156
6. Step 6: Final answer
   x = 370,712.91