Finding the Third Proportional to 356.25 and 782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   356.25 : 782.56 = 782.56 : x
2. Step 2: Convert to fraction form
   356.25/782.56 = 782.56/x
3. Step 3: Cross multiply
   356.25x = 782.56 × 782.56
4. Step 4: Simplify right side
   356.25x = 612,404.07
5. Step 5: Solve for x
   x = 612,404.07/356.25
6. Step 6: Final answer
   x = 1,719.03