Finding the Third Proportional to 320,974.50 and 496,746

Step by Step Solution

1. Step 1: Write the proportion equation
   320,974.50 : 496,746 = 496,746 : x
2. Step 2: Convert to fraction form
   320,974.50/496,746 = 496,746/x
3. Step 3: Cross multiply
   320,974.50x = 496,746 × 496,746
4. Step 4: Simplify right side
   320,974.50x = 246,756,588,516
5. Step 5: Solve for x
   x = 246,756,588,516/320,974.50
6. Step 6: Final answer
   x = 768,773.18