Finding the Third Proportional to 415,050 and 641,003

Step by Step Solution

1. Step 1: Write the proportion equation
   415,050 : 641,003 = 641,003 : x
2. Step 2: Convert to fraction form
   415,050/641,003 = 641,003/x
3. Step 3: Cross multiply
   415,050x = 641,003 × 641,003
4. Step 4: Simplify right side
   415,050x = 410,884,846,009
5. Step 5: Solve for x
   x = 410,884,846,009/415,050
6. Step 6: Final answer
   x = 989,964.69