Finding the Third Proportional to 520.88 and 1,258.69

Step by Step Solution

1. Step 1: Write the proportion equation
   520.88 : 1,258.69 = 1,258.69 : x
2. Step 2: Convert to fraction form
   520.88/1,258.69 = 1,258.69/x
3. Step 3: Cross multiply
   520.88x = 1,258.69 × 1,258.69
4. Step 4: Simplify right side
   520.88x = 1,584,294.22
5. Step 5: Solve for x
   x = 1,584,294.22/520.88
6. Step 6: Final answer
   x = 3,041.60