Finding the Third Proportional to 188,118 and 381,096

Step by Step Solution

1. Step 1: Write the proportion equation
   188,118 : 381,096 = 381,096 : x
2. Step 2: Convert to fraction form
   188,118/381,096 = 381,096/x
3. Step 3: Cross multiply
   188,118x = 381,096 × 381,096
4. Step 4: Simplify right side
   188,118x = 145,234,161,216
5. Step 5: Solve for x
   x = 145,234,161,216/188,118
6. Step 6: Final answer
   x = 772,037.56