Finding the Third Proportional to 195,643.69 and 311,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,643.69 : 311,215.50 = 311,215.50 : x
2. Step 2: Convert to fraction form
   195,643.69/311,215.50 = 311,215.50/x
3. Step 3: Cross multiply
   195,643.69x = 311,215.50 × 311,215.50
4. Step 4: Simplify right side
   195,643.69x = 96,855,087,440.25
5. Step 5: Solve for x
   x = 96,855,087,440.25/195,643.69
6. Step 6: Final answer
   x = 495,058.59