Finding the Third Proportional to 497,019.50 and 777,514

Step by Step Solution

1. Step 1: Write the proportion equation
   497,019.50 : 777,514 = 777,514 : x
2. Step 2: Convert to fraction form
   497,019.50/777,514 = 777,514/x
3. Step 3: Cross multiply
   497,019.50x = 777,514 × 777,514
4. Step 4: Simplify right side
   497,019.50x = 604,528,020,196
5. Step 5: Solve for x
   x = 604,528,020,196/497,019.50
6. Step 6: Final answer
   x = 1,216,306.44