Finding the Third Proportional to 562.78 and 838.31

Step by Step Solution

1. Step 1: Write the proportion equation
   562.78 : 838.31 = 838.31 : x
2. Step 2: Convert to fraction form
   562.78/838.31 = 838.31/x
3. Step 3: Cross multiply
   562.78x = 838.31 × 838.31
4. Step 4: Simplify right side
   562.78x = 702,767.85
5. Step 5: Solve for x
   x = 702,767.85/562.78
6. Step 6: Final answer
   x = 1,248.74