Finding the Third Proportional to 381,517.59 and 508,585.71

Step by Step Solution

1. Step 1: Write the proportion equation
   381,517.59 : 508,585.71 = 508,585.71 : x
2. Step 2: Convert to fraction form
   381,517.59/508,585.71 = 508,585.71/x
3. Step 3: Cross multiply
   381,517.59x = 508,585.71 × 508,585.71
4. Step 4: Simplify right side
   381,517.59x = 258,659,425,369.80
5. Step 5: Solve for x
   x = 258,659,425,369.80/381,517.59
6. Step 6: Final answer
   x = 677,975.09