Finding the Third Proportional to 521.50 and 1,078.25

Step by Step Solution

1. Step 1: Write the proportion equation
   521.50 : 1,078.25 = 1,078.25 : x
2. Step 2: Convert to fraction form
   521.50/1,078.25 = 1,078.25/x
3. Step 3: Cross multiply
   521.50x = 1,078.25 × 1,078.25
4. Step 4: Simplify right side
   521.50x = 1,162,623.06
5. Step 5: Solve for x
   x = 1,162,623.06/521.50
6. Step 6: Final answer
   x = 2,229.38