Finding the Third Proportional to 223,686 and 338,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,686 : 338,786.50 = 338,786.50 : x
2. Step 2: Convert to fraction form
   223,686/338,786.50 = 338,786.50/x
3. Step 3: Cross multiply
   223,686x = 338,786.50 × 338,786.50
4. Step 4: Simplify right side
   223,686x = 114,776,292,582.25
5. Step 5: Solve for x
   x = 114,776,292,582.25/223,686
6. Step 6: Final answer
   x = 513,113.44