Finding the Third Proportional to 309,933 and 469,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,933 : 469,579.50 = 469,579.50 : x
2. Step 2: Convert to fraction form
   309,933/469,579.50 = 469,579.50/x
3. Step 3: Cross multiply
   309,933x = 469,579.50 × 469,579.50
4. Step 4: Simplify right side
   309,933x = 220,504,906,820.25
5. Step 5: Solve for x
   x = 220,504,906,820.25/309,933
6. Step 6: Final answer
   x = 711,459.92