Finding the Third Proportional to 377,642.25 and 821,689.31

Step by Step Solution

1. Step 1: Write the proportion equation
   377,642.25 : 821,689.31 = 821,689.31 : x
2. Step 2: Convert to fraction form
   377,642.25/821,689.31 = 821,689.31/x
3. Step 3: Cross multiply
   377,642.25x = 821,689.31 × 821,689.31
4. Step 4: Simplify right side
   377,642.25x = 675,173,326,276.72
5. Step 5: Solve for x
   x = 675,173,326,276.72/377,642.25
6. Step 6: Final answer
   x = 1,787,864.91