Finding the Third Proportional to 381,469.50 and 560,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   381,469.50 : 560,513.25 = 560,513.25 : x
2. Step 2: Convert to fraction form
   381,469.50/560,513.25 = 560,513.25/x
3. Step 3: Cross multiply
   381,469.50x = 560,513.25 × 560,513.25
4. Step 4: Simplify right side
   381,469.50x = 314,175,103,425.56
5. Step 5: Solve for x
   x = 314,175,103,425.56/381,469.50
6. Step 6: Final answer
   x = 823,591.67