Finding the Third Proportional to 192,823.50 and 296,568

Step by Step Solution

1. Step 1: Write the proportion equation
   192,823.50 : 296,568 = 296,568 : x
2. Step 2: Convert to fraction form
   192,823.50/296,568 = 296,568/x
3. Step 3: Cross multiply
   192,823.50x = 296,568 × 296,568
4. Step 4: Simplify right side
   192,823.50x = 87,952,578,624
5. Step 5: Solve for x
   x = 87,952,578,624/192,823.50
6. Step 6: Final answer
   x = 456,129.98