Finding the Third Proportional to 559.88 and 882.56

Step by Step Solution

1. Step 1: Write the proportion equation
   559.88 : 882.56 = 882.56 : x
2. Step 2: Convert to fraction form
   559.88/882.56 = 882.56/x
3. Step 3: Cross multiply
   559.88x = 882.56 × 882.56
4. Step 4: Simplify right side
   559.88x = 778,916.57
5. Step 5: Solve for x
   x = 778,916.57/559.88
6. Step 6: Final answer
   x = 1,391.23