Finding the Third Proportional to 199,275 and 296,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,275 : 296,089.50 = 296,089.50 : x
2. Step 2: Convert to fraction form
   199,275/296,089.50 = 296,089.50/x
3. Step 3: Cross multiply
   199,275x = 296,089.50 × 296,089.50
4. Step 4: Simplify right side
   199,275x = 87,668,992,010.25
5. Step 5: Solve for x
   x = 87,668,992,010.25/199,275
6. Step 6: Final answer
   x = 439,939.74