Finding the Third Proportional to 501,645 and 777,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,645 : 777,067.50 = 777,067.50 : x
2. Step 2: Convert to fraction form
   501,645/777,067.50 = 777,067.50/x
3. Step 3: Cross multiply
   501,645x = 777,067.50 × 777,067.50
4. Step 4: Simplify right side
   501,645x = 603,833,899,556.25
5. Step 5: Solve for x
   x = 603,833,899,556.25/501,645
6. Step 6: Final answer
   x = 1,203,707.60