Finding the Third Proportional to 490.50 and 590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   490.50 : 590.50 = 590.50 : x
2. Step 2: Convert to fraction form
   490.50/590.50 = 590.50/x
3. Step 3: Cross multiply
   490.50x = 590.50 × 590.50
4. Step 4: Simplify right side
   490.50x = 348,690.25
5. Step 5: Solve for x
   x = 348,690.25/490.50
6. Step 6: Final answer
   x = 710.89