Finding the Third Proportional to 188,726 and 412,456

Step by Step Solution

1. Step 1: Write the proportion equation
   188,726 : 412,456 = 412,456 : x
2. Step 2: Convert to fraction form
   188,726/412,456 = 412,456/x
3. Step 3: Cross multiply
   188,726x = 412,456 × 412,456
4. Step 4: Simplify right side
   188,726x = 170,119,951,936
5. Step 5: Solve for x
   x = 170,119,951,936/188,726
6. Step 6: Final answer
   x = 901,412.38