Finding the Third Proportional to 189,256 and 412,112

Step by Step Solution

1. Step 1: Write the proportion equation
   189,256 : 412,112 = 412,112 : x
2. Step 2: Convert to fraction form
   189,256/412,112 = 412,112/x
3. Step 3: Cross multiply
   189,256x = 412,112 × 412,112
4. Step 4: Simplify right side
   189,256x = 169,836,300,544
5. Step 5: Solve for x
   x = 169,836,300,544/189,256
6. Step 6: Final answer
   x = 897,389.25