Finding the Third Proportional to 790.31 and 1,185.56

Step by Step Solution

1. Step 1: Write the proportion equation
   790.31 : 1,185.56 = 1,185.56 : x
2. Step 2: Convert to fraction form
   790.31/1,185.56 = 1,185.56/x
3. Step 3: Cross multiply
   790.31x = 1,185.56 × 1,185.56
4. Step 4: Simplify right side
   790.31x = 1,405,558.44
5. Step 5: Solve for x
   x = 1,405,558.44/790.31
6. Step 6: Final answer
   x = 1,778.48