Finding the Third Proportional to 202,865.50 and 315,780

Step by Step Solution

1. Step 1: Write the proportion equation
   202,865.50 : 315,780 = 315,780 : x
2. Step 2: Convert to fraction form
   202,865.50/315,780 = 315,780/x
3. Step 3: Cross multiply
   202,865.50x = 315,780 × 315,780
4. Step 4: Simplify right side
   202,865.50x = 99,717,008,400
5. Step 5: Solve for x
   x = 99,717,008,400/202,865.50
6. Step 6: Final answer
   x = 491,542.47