Finding the Third Proportional to 381,249 and 508,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,249 : 508,270.50 = 508,270.50 : x
2. Step 2: Convert to fraction form
   381,249/508,270.50 = 508,270.50/x
3. Step 3: Cross multiply
   381,249x = 508,270.50 × 508,270.50
4. Step 4: Simplify right side
   381,249x = 258,338,901,170.25
5. Step 5: Solve for x
   x = 258,338,901,170.25/381,249
6. Step 6: Final answer
   x = 677,612.01