Finding the Third Proportional to 509.63 and 1,105.88

Step by Step Solution

1. Step 1: Write the proportion equation
   509.63 : 1,105.88 = 1,105.88 : x
2. Step 2: Convert to fraction form
   509.63/1,105.88 = 1,105.88/x
3. Step 3: Cross multiply
   509.63x = 1,105.88 × 1,105.88
4. Step 4: Simplify right side
   509.63x = 1,222,959.52
5. Step 5: Solve for x
   x = 1,222,959.52/509.63
6. Step 6: Final answer
   x = 2,399.72