Finding the Third Proportional to 315,943.50 and 409,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,943.50 : 409,870.50 = 409,870.50 : x
2. Step 2: Convert to fraction form
   315,943.50/409,870.50 = 409,870.50/x
3. Step 3: Cross multiply
   315,943.50x = 409,870.50 × 409,870.50
4. Step 4: Simplify right side
   315,943.50x = 167,993,826,770.25
5. Step 5: Solve for x
   x = 167,993,826,770.25/315,943.50
6. Step 6: Final answer
   x = 531,721.10