Finding the Third Proportional to 459,569 and 689,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   459,569 : 689,839.50 = 689,839.50 : x
2. Step 2: Convert to fraction form
   459,569/689,839.50 = 689,839.50/x
3. Step 3: Cross multiply
   459,569x = 689,839.50 × 689,839.50
4. Step 4: Simplify right side
   459,569x = 475,878,535,760.25
5. Step 5: Solve for x
   x = 475,878,535,760.25/459,569
6. Step 6: Final answer
   x = 1,035,488.76