Finding the Third Proportional to 520.19 and 1,123.69

Step by Step Solution

1. Step 1: Write the proportion equation
   520.19 : 1,123.69 = 1,123.69 : x
2. Step 2: Convert to fraction form
   520.19/1,123.69 = 1,123.69/x
3. Step 3: Cross multiply
   520.19x = 1,123.69 × 1,123.69
4. Step 4: Simplify right side
   520.19x = 1,262,673.60
5. Step 5: Solve for x
   x = 1,262,673.60/520.19
6. Step 6: Final answer
   x = 2,427.34