Finding the Third Proportional to 311,967 and 470,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,967 : 470,740.50 = 470,740.50 : x
2. Step 2: Convert to fraction form
   311,967/470,740.50 = 470,740.50/x
3. Step 3: Cross multiply
   311,967x = 470,740.50 × 470,740.50
4. Step 4: Simplify right side
   311,967x = 221,596,618,340.25
5. Step 5: Solve for x
   x = 221,596,618,340.25/311,967
6. Step 6: Final answer
   x = 710,320.70