Finding the Third Proportional to 493.88 and 659.06

Step by Step Solution

1. Step 1: Write the proportion equation
   493.88 : 659.06 = 659.06 : x
2. Step 2: Convert to fraction form
   493.88/659.06 = 659.06/x
3. Step 3: Cross multiply
   493.88x = 659.06 × 659.06
4. Step 4: Simplify right side
   493.88x = 434,363.38
5. Step 5: Solve for x
   x = 434,363.38/493.88
6. Step 6: Final answer
   x = 879.50