Finding the Third Proportional to 381,369.75 and 517,947

Step by Step Solution

1. Step 1: Write the proportion equation
   381,369.75 : 517,947 = 517,947 : x
2. Step 2: Convert to fraction form
   381,369.75/517,947 = 517,947/x
3. Step 3: Cross multiply
   381,369.75x = 517,947 × 517,947
4. Step 4: Simplify right side
   381,369.75x = 268,269,094,809
5. Step 5: Solve for x
   x = 268,269,094,809/381,369.75
6. Step 6: Final answer
   x = 703,435.69