Finding the Third Proportional to 768.94 and 1,123.59

Step by Step Solution

1. Step 1: Write the proportion equation
   768.94 : 1,123.59 = 1,123.59 : x
2. Step 2: Convert to fraction form
   768.94/1,123.59 = 1,123.59/x
3. Step 3: Cross multiply
   768.94x = 1,123.59 × 1,123.59
4. Step 4: Simplify right side
   768.94x = 1,262,462.92
5. Step 5: Solve for x
   x = 1,262,462.92/768.94
6. Step 6: Final answer
   x = 1,641.83