Finding the Third Proportional to 165,105 and 255,099

Step by Step Solution

1. Step 1: Write the proportion equation
   165,105 : 255,099 = 255,099 : x
2. Step 2: Convert to fraction form
   165,105/255,099 = 255,099/x
3. Step 3: Cross multiply
   165,105x = 255,099 × 255,099
4. Step 4: Simplify right side
   165,105x = 65,075,499,801
5. Step 5: Solve for x
   x = 65,075,499,801/165,105
6. Step 6: Final answer
   x = 394,146.15