Finding the Third Proportional to 345.56 and 404.06

Step by Step Solution

1. Step 1: Write the proportion equation
   345.56 : 404.06 = 404.06 : x
2. Step 2: Convert to fraction form
   345.56/404.06 = 404.06/x
3. Step 3: Cross multiply
   345.56x = 404.06 × 404.06
4. Step 4: Simplify right side
   345.56x = 163,266.50
5. Step 5: Solve for x
   x = 163,266.50/345.56
6. Step 6: Final answer
   x = 472.47