Finding the Third Proportional to 493.45 and 583.45

Step by Step Solution

1. Step 1: Write the proportion equation
   493.45 : 583.45 = 583.45 : x
2. Step 2: Convert to fraction form
   493.45/583.45 = 583.45/x
3. Step 3: Cross multiply
   493.45x = 583.45 × 583.45
4. Step 4: Simplify right side
   493.45x = 340,417.55
5. Step 5: Solve for x
   x = 340,417.55/493.45
6. Step 6: Final answer
   x = 689.87