Finding the Third Proportional to 307.76 and 404.05

Step by Step Solution

1. Step 1: Write the proportion equation
   307.76 : 404.05 = 404.05 : x
2. Step 2: Convert to fraction form
   307.76/404.05 = 404.05/x
3. Step 3: Cross multiply
   307.76x = 404.05 × 404.05
4. Step 4: Simplify right side
   307.76x = 163,257.03
5. Step 5: Solve for x
   x = 163,257.03/307.76
6. Step 6: Final answer
   x = 530.47