Finding the Third Proportional to 193,114.50 and 282,758

Step by Step Solution

1. Step 1: Write the proportion equation
   193,114.50 : 282,758 = 282,758 : x
2. Step 2: Convert to fraction form
   193,114.50/282,758 = 282,758/x
3. Step 3: Cross multiply
   193,114.50x = 282,758 × 282,758
4. Step 4: Simplify right side
   193,114.50x = 79,952,086,564
5. Step 5: Solve for x
   x = 79,952,086,564/193,114.50
6. Step 6: Final answer
   x = 414,013.90