Finding the Third Proportional to 323,196 and 434,766

Step by Step Solution

1. Step 1: Write the proportion equation
   323,196 : 434,766 = 434,766 : x
2. Step 2: Convert to fraction form
   323,196/434,766 = 434,766/x
3. Step 3: Cross multiply
   323,196x = 434,766 × 434,766
4. Step 4: Simplify right side
   323,196x = 189,021,474,756
5. Step 5: Solve for x
   x = 189,021,474,756/323,196
6. Step 6: Final answer
   x = 584,850.91