Finding the Third Proportional to 498,142 and 778,321

Step by Step Solution

1. Step 1: Write the proportion equation
   498,142 : 778,321 = 778,321 : x
2. Step 2: Convert to fraction form
   498,142/778,321 = 778,321/x
3. Step 3: Cross multiply
   498,142x = 778,321 × 778,321
4. Step 4: Simplify right side
   498,142x = 605,783,579,041
5. Step 5: Solve for x
   x = 605,783,579,041/498,142
6. Step 6: Final answer
   x = 1,216,086.13