Finding the Third Proportional to 311,936 and 434,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,936 : 434,620.50 = 434,620.50 : x
2. Step 2: Convert to fraction form
   311,936/434,620.50 = 434,620.50/x
3. Step 3: Cross multiply
   311,936x = 434,620.50 × 434,620.50
4. Step 4: Simplify right side
   311,936x = 188,894,979,020.25
5. Step 5: Solve for x
   x = 188,894,979,020.25/311,936
6. Step 6: Final answer
   x = 605,556.84