Finding the Third Proportional to 415.03 and 647.72

Step by Step Solution

1. Step 1: Write the proportion equation
   415.03 : 647.72 = 647.72 : x
2. Step 2: Convert to fraction form
   415.03/647.72 = 647.72/x
3. Step 3: Cross multiply
   415.03x = 647.72 × 647.72
4. Step 4: Simplify right side
   415.03x = 419,539.58
5. Step 5: Solve for x
   x = 419,539.58/415.03
6. Step 6: Final answer
   x = 1,010.86