Finding the Third Proportional to 419.34 and 871.59

Step by Step Solution

1. Step 1: Write the proportion equation
   419.34 : 871.59 = 871.59 : x
2. Step 2: Convert to fraction form
   419.34/871.59 = 871.59/x
3. Step 3: Cross multiply
   419.34x = 871.59 × 871.59
4. Step 4: Simplify right side
   419.34x = 759,675.67
5. Step 5: Solve for x
   x = 759,675.67/419.34
6. Step 6: Final answer
   x = 1,811.58