Finding the Third Proportional to 276,714 and 417,004

Step by Step Solution

1. Step 1: Write the proportion equation
   276,714 : 417,004 = 417,004 : x
2. Step 2: Convert to fraction form
   276,714/417,004 = 417,004/x
3. Step 3: Cross multiply
   276,714x = 417,004 × 417,004
4. Step 4: Simplify right side
   276,714x = 173,892,336,016
5. Step 5: Solve for x
   x = 173,892,336,016/276,714
6. Step 6: Final answer
   x = 628,419.00