Finding the Third Proportional to 513,675 and 681,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   513,675 : 681,772.50 = 681,772.50 : x
2. Step 2: Convert to fraction form
   513,675/681,772.50 = 681,772.50/x
3. Step 3: Cross multiply
   513,675x = 681,772.50 × 681,772.50
4. Step 4: Simplify right side
   513,675x = 464,813,741,756.25
5. Step 5: Solve for x
   x = 464,813,741,756.25/513,675
6. Step 6: Final answer
   x = 904,879.04