Finding the Third Proportional to 282,434 and 415,003

Step by Step Solution

1. Step 1: Write the proportion equation
   282,434 : 415,003 = 415,003 : x
2. Step 2: Convert to fraction form
   282,434/415,003 = 415,003/x
3. Step 3: Cross multiply
   282,434x = 415,003 × 415,003
4. Step 4: Simplify right side
   282,434x = 172,227,490,009
5. Step 5: Solve for x
   x = 172,227,490,009/282,434
6. Step 6: Final answer
   x = 609,797.30