Finding the Third Proportional to 81,840 and 171,936

Step by Step Solution

1. Step 1: Write the proportion equation
   81,840 : 171,936 = 171,936 : x
2. Step 2: Convert to fraction form
   81,840/171,936 = 171,936/x
3. Step 3: Cross multiply
   81,840x = 171,936 × 171,936
4. Step 4: Simplify right side
   81,840x = 29,561,988,096
5. Step 5: Solve for x
   x = 29,561,988,096/81,840
6. Step 6: Final answer
   x = 361,216.86