Finding the Third Proportional to 346 and 404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   346 : 404.50 = 404.50 : x
2. Step 2: Convert to fraction form
   346/404.50 = 404.50/x
3. Step 3: Cross multiply
   346x = 404.50 × 404.50
4. Step 4: Simplify right side
   346x = 163,620.25
5. Step 5: Solve for x
   x = 163,620.25/346
6. Step 6: Final answer
   x = 472.89