Finding the Third Proportional to 193,491 and 410,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,491 : 410,395.50 = 410,395.50 : x
2. Step 2: Convert to fraction form
   193,491/410,395.50 = 410,395.50/x
3. Step 3: Cross multiply
   193,491x = 410,395.50 × 410,395.50
4. Step 4: Simplify right side
   193,491x = 168,424,466,420.25
5. Step 5: Solve for x
   x = 168,424,466,420.25/193,491
6. Step 6: Final answer
   x = 870,451.17