Finding the Third Proportional to 415.69 and 899.72

Step by Step Solution

1. Step 1: Write the proportion equation
   415.69 : 899.72 = 899.72 : x
2. Step 2: Convert to fraction form
   415.69/899.72 = 899.72/x
3. Step 3: Cross multiply
   415.69x = 899.72 × 899.72
4. Step 4: Simplify right side
   415.69x = 809,493.83
5. Step 5: Solve for x
   x = 809,493.83/415.69
6. Step 6: Final answer
   x = 1,947.36