Finding the Third Proportional to 322,912 and 497,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,912 : 497,993.50 = 497,993.50 : x
2. Step 2: Convert to fraction form
   322,912/497,993.50 = 497,993.50/x
3. Step 3: Cross multiply
   322,912x = 497,993.50 × 497,993.50
4. Step 4: Simplify right side
   322,912x = 247,997,526,042.25
5. Step 5: Solve for x
   x = 247,997,526,042.25/322,912
6. Step 6: Final answer
   x = 768,003.44