Finding the Third Proportional to 419.63 and 899.72

Step by Step Solution

1. Step 1: Write the proportion equation
   419.63 : 899.72 = 899.72 : x
2. Step 2: Convert to fraction form
   419.63/899.72 = 899.72/x
3. Step 3: Cross multiply
   419.63x = 899.72 × 899.72
4. Step 4: Simplify right side
   419.63x = 809,493.83
5. Step 5: Solve for x
   x = 809,493.83/419.63
6. Step 6: Final answer
   x = 1,929.09