Finding the Third Proportional to 381,491 and 589,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,491 : 589,771.50 = 589,771.50 : x
2. Step 2: Convert to fraction form
   381,491/589,771.50 = 589,771.50/x
3. Step 3: Cross multiply
   381,491x = 589,771.50 × 589,771.50
4. Step 4: Simplify right side
   381,491x = 347,830,422,212.25
5. Step 5: Solve for x
   x = 347,830,422,212.25/381,491
6. Step 6: Final answer
   x = 911,765.74