Finding the Third Proportional to 199,627.50 and 293,568

Step by Step Solution

1. Step 1: Write the proportion equation
   199,627.50 : 293,568 = 293,568 : x
2. Step 2: Convert to fraction form
   199,627.50/293,568 = 293,568/x
3. Step 3: Cross multiply
   199,627.50x = 293,568 × 293,568
4. Step 4: Simplify right side
   199,627.50x = 86,182,170,624
5. Step 5: Solve for x
   x = 86,182,170,624/199,627.50
6. Step 6: Final answer
   x = 431,714.92