Finding the Third Proportional to 397.69 and 881.86

Step by Step Solution

1. Step 1: Write the proportion equation
   397.69 : 881.86 = 881.86 : x
2. Step 2: Convert to fraction form
   397.69/881.86 = 881.86/x
3. Step 3: Cross multiply
   397.69x = 881.86 × 881.86
4. Step 4: Simplify right side
   397.69x = 777,675.96
5. Step 5: Solve for x
   x = 777,675.96/397.69
6. Step 6: Final answer
   x = 1,955.50