Finding the Third Proportional to 578.25 and 881.72

Step by Step Solution

1. Step 1: Write the proportion equation
   578.25 : 881.72 = 881.72 : x
2. Step 2: Convert to fraction form
   578.25/881.72 = 881.72/x
3. Step 3: Cross multiply
   578.25x = 881.72 × 881.72
4. Step 4: Simplify right side
   578.25x = 777,427.95
5. Step 5: Solve for x
   x = 777,427.95/578.25
6. Step 6: Final answer
   x = 1,344.45