Finding the Third Proportional to 491,193 and 733,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   491,193 : 733,756.50 = 733,756.50 : x
2. Step 2: Convert to fraction form
   491,193/733,756.50 = 733,756.50/x
3. Step 3: Cross multiply
   491,193x = 733,756.50 × 733,756.50
4. Step 4: Simplify right side
   491,193x = 538,398,601,292.25
5. Step 5: Solve for x
   x = 538,398,601,292.25/491,193
6. Step 6: Final answer
   x = 1,096,103.98