Finding the Third Proportional to 172,128 and 284,454

Step by Step Solution

1. Step 1: Write the proportion equation
   172,128 : 284,454 = 284,454 : x
2. Step 2: Convert to fraction form
   172,128/284,454 = 284,454/x
3. Step 3: Cross multiply
   172,128x = 284,454 × 284,454
4. Step 4: Simplify right side
   172,128x = 80,914,078,116
5. Step 5: Solve for x
   x = 80,914,078,116/172,128
6. Step 6: Final answer
   x = 470,080.86