Finding the Third Proportional to 354,974.25 and 772,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,974.25 : 772,144.50 = 772,144.50 : x
2. Step 2: Convert to fraction form
   354,974.25/772,144.50 = 772,144.50/x
3. Step 3: Cross multiply
   354,974.25x = 772,144.50 × 772,144.50
4. Step 4: Simplify right side
   354,974.25x = 596,207,128,880.25
5. Step 5: Solve for x
   x = 596,207,128,880.25/354,974.25
6. Step 6: Final answer
   x = 1,679,578.53