Finding the Third Proportional to 311,841 and 470,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,841 : 470,584.50 = 470,584.50 : x
2. Step 2: Convert to fraction form
   311,841/470,584.50 = 470,584.50/x
3. Step 3: Cross multiply
   311,841x = 470,584.50 × 470,584.50
4. Step 4: Simplify right side
   311,841x = 221,449,771,640.25
5. Step 5: Solve for x
   x = 221,449,771,640.25/311,841
6. Step 6: Final answer
   x = 710,136.81