Finding the Third Proportional to 310,746 and 470,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,746 : 470,320.50 = 470,320.50 : x
2. Step 2: Convert to fraction form
   310,746/470,320.50 = 470,320.50/x
3. Step 3: Cross multiply
   310,746x = 470,320.50 × 470,320.50
4. Step 4: Simplify right side
   310,746x = 221,201,372,720.25
5. Step 5: Solve for x
   x = 221,201,372,720.25/310,746
6. Step 6: Final answer
   x = 711,839.81