Finding the Third Proportional to 404.63 and 735.56

Step by Step Solution

1. Step 1: Write the proportion equation
   404.63 : 735.56 = 735.56 : x
2. Step 2: Convert to fraction form
   404.63/735.56 = 735.56/x
3. Step 3: Cross multiply
   404.63x = 735.56 × 735.56
4. Step 4: Simplify right side
   404.63x = 541,052.19
5. Step 5: Solve for x
   x = 541,052.19/404.63
6. Step 6: Final answer
   x = 1,337.17