Finding the Third Proportional to 404.63 and 530.06

Step by Step Solution

1. Step 1: Write the proportion equation
   404.63 : 530.06 = 530.06 : x
2. Step 2: Convert to fraction form
   404.63/530.06 = 530.06/x
3. Step 3: Cross multiply
   404.63x = 530.06 × 530.06
4. Step 4: Simplify right side
   404.63x = 280,966.25
5. Step 5: Solve for x
   x = 280,966.25/404.63
6. Step 6: Final answer
   x = 694.39