Finding the Third Proportional to 364,500 and 513,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,500 : 513,067.50 = 513,067.50 : x
2. Step 2: Convert to fraction form
   364,500/513,067.50 = 513,067.50/x
3. Step 3: Cross multiply
   364,500x = 513,067.50 × 513,067.50
4. Step 4: Simplify right side
   364,500x = 263,238,259,556.25
5. Step 5: Solve for x
   x = 263,238,259,556.25/364,500
6. Step 6: Final answer
   x = 722,190.01