Finding the Third Proportional to 188,452 and 410,116

Step by Step Solution

1. Step 1: Write the proportion equation
   188,452 : 410,116 = 410,116 : x
2. Step 2: Convert to fraction form
   188,452/410,116 = 410,116/x
3. Step 3: Cross multiply
   188,452x = 410,116 × 410,116
4. Step 4: Simplify right side
   188,452x = 168,195,133,456
5. Step 5: Solve for x
   x = 168,195,133,456/188,452
6. Step 6: Final answer
   x = 892,509.15