Finding the Third Proportional to 354,977 and 772,150

Step by Step Solution

1. Step 1: Write the proportion equation
   354,977 : 772,150 = 772,150 : x
2. Step 2: Convert to fraction form
   354,977/772,150 = 772,150/x
3. Step 3: Cross multiply
   354,977x = 772,150 × 772,150
4. Step 4: Simplify right side
   354,977x = 596,215,622,500
5. Step 5: Solve for x
   x = 596,215,622,500/354,977
6. Step 6: Final answer
   x = 1,679,589.45