Finding the Third Proportional to 404 and 530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404 : 530.50 = 530.50 : x
2. Step 2: Convert to fraction form
   404/530.50 = 530.50/x
3. Step 3: Cross multiply
   404x = 530.50 × 530.50
4. Step 4: Simplify right side
   404x = 281,430.25
5. Step 5: Solve for x
   x = 281,430.25/404
6. Step 6: Final answer
   x = 696.61