Finding the Third Proportional to 233,721 and 333,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,721 : 333,067.50 = 333,067.50 : x
2. Step 2: Convert to fraction form
   233,721/333,067.50 = 333,067.50/x
3. Step 3: Cross multiply
   233,721x = 333,067.50 × 333,067.50
4. Step 4: Simplify right side
   233,721x = 110,933,959,556.25
5. Step 5: Solve for x
   x = 110,933,959,556.25/233,721
6. Step 6: Final answer
   x = 474,642.67