Finding the Third Proportional to 275,757 and 442,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,757 : 442,429.50 = 442,429.50 : x
2. Step 2: Convert to fraction form
   275,757/442,429.50 = 442,429.50/x
3. Step 3: Cross multiply
   275,757x = 442,429.50 × 442,429.50
4. Step 4: Simplify right side
   275,757x = 195,743,862,470.25
5. Step 5: Solve for x
   x = 195,743,862,470.25/275,757
6. Step 6: Final answer
   x = 709,841.86