Finding the Third Proportional to 760.25 and 1,123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   760.25 : 1,123.63 = 1,123.63 : x
2. Step 2: Convert to fraction form
   760.25/1,123.63 = 1,123.63/x
3. Step 3: Cross multiply
   760.25x = 1,123.63 × 1,123.63
4. Step 4: Simplify right side
   760.25x = 1,262,533.14
5. Step 5: Solve for x
   x = 1,262,533.14/760.25
6. Step 6: Final answer
   x = 1,660.68