Finding the Third Proportional to 188,714 and 412,422

Step by Step Solution

1. Step 1: Write the proportion equation
   188,714 : 412,422 = 412,422 : x
2. Step 2: Convert to fraction form
   188,714/412,422 = 412,422/x
3. Step 3: Cross multiply
   188,714x = 412,422 × 412,422
4. Step 4: Simplify right side
   188,714x = 170,091,906,084
5. Step 5: Solve for x
   x = 170,091,906,084/188,714
6. Step 6: Final answer
   x = 901,321.08