Finding the Third Proportional to 120,114 and 188,424

Step by Step Solution

1. Step 1: Write the proportion equation
   120,114 : 188,424 = 188,424 : x
2. Step 2: Convert to fraction form
   120,114/188,424 = 188,424/x
3. Step 3: Cross multiply
   120,114x = 188,424 × 188,424
4. Step 4: Simplify right side
   120,114x = 35,503,603,776
5. Step 5: Solve for x
   x = 35,503,603,776/120,114
6. Step 6: Final answer
   x = 295,582.56