Finding the Third Proportional to 576,475 and 821,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   576,475 : 821,200.50 = 821,200.50 : x
2. Step 2: Convert to fraction form
   576,475/821,200.50 = 821,200.50/x
3. Step 3: Cross multiply
   576,475x = 821,200.50 × 821,200.50
4. Step 4: Simplify right side
   576,475x = 674,370,261,200.25
5. Step 5: Solve for x
   x = 674,370,261,200.25/576,475
6. Step 6: Final answer
   x = 1,169,817.01