Finding the Third Proportional to 82,353 and 171,855

Step by Step Solution

1. Step 1: Write the proportion equation
   82,353 : 171,855 = 171,855 : x
2. Step 2: Convert to fraction form
   82,353/171,855 = 171,855/x
3. Step 3: Cross multiply
   82,353x = 171,855 × 171,855
4. Step 4: Simplify right side
   82,353x = 29,534,141,025
5. Step 5: Solve for x
   x = 29,534,141,025/82,353
6. Step 6: Final answer
   x = 358,628.60