Finding the Third Proportional to 396,144 and 772,443

Step by Step Solution

1. Step 1: Write the proportion equation
   396,144 : 772,443 = 772,443 : x
2. Step 2: Convert to fraction form
   396,144/772,443 = 772,443/x
3. Step 3: Cross multiply
   396,144x = 772,443 × 772,443
4. Step 4: Simplify right side
   396,144x = 596,668,188,249
5. Step 5: Solve for x
   x = 596,668,188,249/396,144
6. Step 6: Final answer
   x = 1,506,190.14