Finding the Third Proportional to 311,911.50 and 470,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,911.50 : 470,086.50 = 470,086.50 : x
2. Step 2: Convert to fraction form
   311,911.50/470,086.50 = 470,086.50/x
3. Step 3: Cross multiply
   311,911.50x = 470,086.50 × 470,086.50
4. Step 4: Simplify right side
   311,911.50x = 220,981,317,482.25
5. Step 5: Solve for x
   x = 220,981,317,482.25/311,911.50
6. Step 6: Final answer
   x = 708,474.41