Finding the Third Proportional to 268,861.50 and 412,692

Step by Step Solution

1. Step 1: Write the proportion equation
   268,861.50 : 412,692 = 412,692 : x
2. Step 2: Convert to fraction form
   268,861.50/412,692 = 412,692/x
3. Step 3: Cross multiply
   268,861.50x = 412,692 × 412,692
4. Step 4: Simplify right side
   268,861.50x = 170,314,686,864
5. Step 5: Solve for x
   x = 170,314,686,864/268,861.50
6. Step 6: Final answer
   x = 633,466.25