Finding the Third Proportional to 188,264 and 414,436

Step by Step Solution

1. Step 1: Write the proportion equation
   188,264 : 414,436 = 414,436 : x
2. Step 2: Convert to fraction form
   188,264/414,436 = 414,436/x
3. Step 3: Cross multiply
   188,264x = 414,436 × 414,436
4. Step 4: Simplify right side
   188,264x = 171,757,198,096
5. Step 5: Solve for x
   x = 171,757,198,096/188,264
6. Step 6: Final answer
   x = 912,320.99