Finding the Third Proportional to 493.59 and 1,102.78

Step by Step Solution

1. Step 1: Write the proportion equation
   493.59 : 1,102.78 = 1,102.78 : x
2. Step 2: Convert to fraction form
   493.59/1,102.78 = 1,102.78/x
3. Step 3: Cross multiply
   493.59x = 1,102.78 × 1,102.78
4. Step 4: Simplify right side
   493.59x = 1,216,126.49
5. Step 5: Solve for x
   x = 1,216,126.49/493.59
6. Step 6: Final answer
   x = 2,463.82