Finding the Third Proportional to 311,997 and 470,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,997 : 470,200.50 = 470,200.50 : x
2. Step 2: Convert to fraction form
   311,997/470,200.50 = 470,200.50/x
3. Step 3: Cross multiply
   311,997x = 470,200.50 × 470,200.50
4. Step 4: Simplify right side
   311,997x = 221,088,510,200.25
5. Step 5: Solve for x
   x = 221,088,510,200.25/311,997
6. Step 6: Final answer
   x = 708,623.83