Finding the Third Proportional to 311,904 and 470,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,904 : 470,074.50 = 470,074.50 : x
2. Step 2: Convert to fraction form
   311,904/470,074.50 = 470,074.50/x
3. Step 3: Cross multiply
   311,904x = 470,074.50 × 470,074.50
4. Step 4: Simplify right side
   311,904x = 220,970,035,550.25
5. Step 5: Solve for x
   x = 220,970,035,550.25/311,904
6. Step 6: Final answer
   x = 708,455.28