Finding the Third Proportional to 209,226 and 384,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,226 : 384,067.50 = 384,067.50 : x
2. Step 2: Convert to fraction form
   209,226/384,067.50 = 384,067.50/x
3. Step 3: Cross multiply
   209,226x = 384,067.50 × 384,067.50
4. Step 4: Simplify right side
   209,226x = 147,507,844,556.25
5. Step 5: Solve for x
   x = 147,507,844,556.25/209,226
6. Step 6: Final answer
   x = 705,016.80