Finding the Third Proportional to 120,108 and 188,412

Step by Step Solution

1. Step 1: Write the proportion equation
   120,108 : 188,412 = 188,412 : x
2. Step 2: Convert to fraction form
   120,108/188,412 = 188,412/x
3. Step 3: Cross multiply
   120,108x = 188,412 × 188,412
4. Step 4: Simplify right side
   120,108x = 35,499,081,744
5. Step 5: Solve for x
   x = 35,499,081,744/120,108
6. Step 6: Final answer
   x = 295,559.68