Finding the Third Proportional to 417.88 and 881.38

Step by Step Solution

1. Step 1: Write the proportion equation
   417.88 : 881.38 = 881.38 : x
2. Step 2: Convert to fraction form
   417.88/881.38 = 881.38/x
3. Step 3: Cross multiply
   417.88x = 881.38 × 881.38
4. Step 4: Simplify right side
   417.88x = 776,821.89
5. Step 5: Solve for x
   x = 776,821.89/417.88
6. Step 6: Final answer
   x = 1,858.98