Finding the Third Proportional to 562.78 and 882.56

Step by Step Solution

1. Step 1: Write the proportion equation
   562.78 : 882.56 = 882.56 : x
2. Step 2: Convert to fraction form
   562.78/882.56 = 882.56/x
3. Step 3: Cross multiply
   562.78x = 882.56 × 882.56
4. Step 4: Simplify right side
   562.78x = 778,916.57
5. Step 5: Solve for x
   x = 778,916.57/562.78
6. Step 6: Final answer
   x = 1,384.05