Finding the Third Proportional to 193,116.50 and 282,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,116.50 : 282,760.50 = 282,760.50 : x
2. Step 2: Convert to fraction form
   193,116.50/282,760.50 = 282,760.50/x
3. Step 3: Cross multiply
   193,116.50x = 282,760.50 × 282,760.50
4. Step 4: Simplify right side
   193,116.50x = 79,953,500,360.25
5. Step 5: Solve for x
   x = 79,953,500,360.25/193,116.50
6. Step 6: Final answer
   x = 414,016.93