Finding the Third Proportional to 78,872 and 172,018

Step by Step Solution

1. Step 1: Write the proportion equation
   78,872 : 172,018 = 172,018 : x
2. Step 2: Convert to fraction form
   78,872/172,018 = 172,018/x
3. Step 3: Cross multiply
   78,872x = 172,018 × 172,018
4. Step 4: Simplify right side
   78,872x = 29,590,192,324
5. Step 5: Solve for x
   x = 29,590,192,324/78,872
6. Step 6: Final answer
   x = 375,167.26