Finding the Third Proportional to 749.53 and 1,123.78

Step by Step Solution

1. Step 1: Write the proportion equation
   749.53 : 1,123.78 = 1,123.78 : x
2. Step 2: Convert to fraction form
   749.53/1,123.78 = 1,123.78/x
3. Step 3: Cross multiply
   749.53x = 1,123.78 × 1,123.78
4. Step 4: Simplify right side
   749.53x = 1,262,884.30
5. Step 5: Solve for x
   x = 1,262,884.30/749.53
6. Step 6: Final answer
   x = 1,684.90