Finding the Third Proportional to 320,953.50 and 496,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,953.50 : 496,462.50 = 496,462.50 : x
2. Step 2: Convert to fraction form
   320,953.50/496,462.50 = 496,462.50/x
3. Step 3: Cross multiply
   320,953.50x = 496,462.50 × 496,462.50
4. Step 4: Simplify right side
   320,953.50x = 246,475,013,906.25
5. Step 5: Solve for x
   x = 246,475,013,906.25/320,953.50
6. Step 6: Final answer
   x = 767,946.18