Finding the Third Proportional to 120,118 and 188,427

Step by Step Solution

1. Step 1: Write the proportion equation
   120,118 : 188,427 = 188,427 : x
2. Step 2: Convert to fraction form
   120,118/188,427 = 188,427/x
3. Step 3: Cross multiply
   120,118x = 188,427 × 188,427
4. Step 4: Simplify right side
   120,118x = 35,504,734,329
5. Step 5: Solve for x
   x = 35,504,734,329/120,118
6. Step 6: Final answer
   x = 295,582.13