Finding the Third Proportional to 78,165 and 171,036

Step by Step Solution

1. Step 1: Write the proportion equation
   78,165 : 171,036 = 171,036 : x
2. Step 2: Convert to fraction form
   78,165/171,036 = 171,036/x
3. Step 3: Cross multiply
   78,165x = 171,036 × 171,036
4. Step 4: Simplify right side
   78,165x = 29,253,313,296
5. Step 5: Solve for x
   x = 29,253,313,296/78,165
6. Step 6: Final answer
   x = 374,250.79