Finding the Third Proportional to 315,859 and 515,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,859 : 515,713.50 = 515,713.50 : x
2. Step 2: Convert to fraction form
   315,859/515,713.50 = 515,713.50/x
3. Step 3: Cross multiply
   315,859x = 515,713.50 × 515,713.50
4. Step 4: Simplify right side
   315,859x = 265,960,414,082.25
5. Step 5: Solve for x
   x = 265,960,414,082.25/315,859
6. Step 6: Final answer
   x = 842,022.59