Finding the Third Proportional to 319,701 and 469,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,701 : 469,183.50 = 469,183.50 : x
2. Step 2: Convert to fraction form
   319,701/469,183.50 = 469,183.50/x
3. Step 3: Cross multiply
   319,701x = 469,183.50 × 469,183.50
4. Step 4: Simplify right side
   319,701x = 220,133,156,672.25
5. Step 5: Solve for x
   x = 220,133,156,672.25/319,701
6. Step 6: Final answer
   x = 688,559.49