Finding the Third Proportional to 386,269.50 and 519,786

Step by Step Solution

1. Step 1: Write the proportion equation
   386,269.50 : 519,786 = 519,786 : x
2. Step 2: Convert to fraction form
   386,269.50/519,786 = 519,786/x
3. Step 3: Cross multiply
   386,269.50x = 519,786 × 519,786
4. Step 4: Simplify right side
   386,269.50x = 270,177,485,796
5. Step 5: Solve for x
   x = 270,177,485,796/386,269.50
6. Step 6: Final answer
   x = 699,453.32