Finding the Third Proportional to 81,936 and 172,112

Step by Step Solution

1. Step 1: Write the proportion equation
   81,936 : 172,112 = 172,112 : x
2. Step 2: Convert to fraction form
   81,936/172,112 = 172,112/x
3. Step 3: Cross multiply
   81,936x = 172,112 × 172,112
4. Step 4: Simplify right side
   81,936x = 29,622,540,544
5. Step 5: Solve for x
   x = 29,622,540,544/81,936
6. Step 6: Final answer
   x = 361,532.67