Finding the Third Proportional to 120,105 and 188,406

Step by Step Solution

1. Step 1: Write the proportion equation
   120,105 : 188,406 = 188,406 : x
2. Step 2: Convert to fraction form
   120,105/188,406 = 188,406/x
3. Step 3: Cross multiply
   120,105x = 188,406 × 188,406
4. Step 4: Simplify right side
   120,105x = 35,496,820,836
5. Step 5: Solve for x
   x = 35,496,820,836/120,105
6. Step 6: Final answer
   x = 295,548.24