Finding the Third Proportional to 429.19 and 899.72

Step by Step Solution

1. Step 1: Write the proportion equation
   429.19 : 899.72 = 899.72 : x
2. Step 2: Convert to fraction form
   429.19/899.72 = 899.72/x
3. Step 3: Cross multiply
   429.19x = 899.72 × 899.72
4. Step 4: Simplify right side
   429.19x = 809,493.83
5. Step 5: Solve for x
   x = 809,493.83/429.19
6. Step 6: Final answer
   x = 1,886.11