Finding the Third Proportional to 201,744 and 282,740.63

Step by Step Solution

1. Step 1: Write the proportion equation
   201,744 : 282,740.63 = 282,740.63 : x
2. Step 2: Convert to fraction form
   201,744/282,740.63 = 282,740.63/x
3. Step 3: Cross multiply
   201,744x = 282,740.63 × 282,740.63
4. Step 4: Simplify right side
   201,744x = 79,942,261,025.39
5. Step 5: Solve for x
   x = 79,942,261,025.39/201,744
6. Step 6: Final answer
   x = 396,255.95