Finding the Third Proportional to 187,184 and 400,096

Step by Step Solution

1. Step 1: Write the proportion equation
   187,184 : 400,096 = 400,096 : x
2. Step 2: Convert to fraction form
   187,184/400,096 = 400,096/x
3. Step 3: Cross multiply
   187,184x = 400,096 × 400,096
4. Step 4: Simplify right side
   187,184x = 160,076,809,216
5. Step 5: Solve for x
   x = 160,076,809,216/187,184
6. Step 6: Final answer
   x = 855,184.25