Finding the Third Proportional to 309,675 and 452,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,675 : 452,563.50 = 452,563.50 : x
2. Step 2: Convert to fraction form
   309,675/452,563.50 = 452,563.50/x
3. Step 3: Cross multiply
   309,675x = 452,563.50 × 452,563.50
4. Step 4: Simplify right side
   309,675x = 204,813,721,532.25
5. Step 5: Solve for x
   x = 204,813,721,532.25/309,675
6. Step 6: Final answer
   x = 661,382.81