Finding the Third Proportional to 322,362 and 497,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,362 : 497,074.50 = 497,074.50 : x
2. Step 2: Convert to fraction form
   322,362/497,074.50 = 497,074.50/x
3. Step 3: Cross multiply
   322,362x = 497,074.50 × 497,074.50
4. Step 4: Simplify right side
   322,362x = 247,083,058,550.25
5. Step 5: Solve for x
   x = 247,083,058,550.25/322,362
6. Step 6: Final answer
   x = 766,477.00