Finding the Third Proportional to 301,912 and 646,105

Step by Step Solution

1. Step 1: Write the proportion equation
   301,912 : 646,105 = 646,105 : x
2. Step 2: Convert to fraction form
   301,912/646,105 = 646,105/x
3. Step 3: Cross multiply
   301,912x = 646,105 × 646,105
4. Step 4: Simplify right side
   301,912x = 417,451,671,025
5. Step 5: Solve for x
   x = 417,451,671,025/301,912
6. Step 6: Final answer
   x = 1,382,693.21