Finding the Third Proportional to 677,196 and 1,410,441.75

Step by Step Solution

1. Step 1: Write the proportion equation
   677,196 : 1,410,441.75 = 1,410,441.75 : x
2. Step 2: Convert to fraction form
   677,196/1,410,441.75 = 1,410,441.75/x
3. Step 3: Cross multiply
   677,196x = 1,410,441.75 × 1,410,441.75
4. Step 4: Simplify right side
   677,196x = 1,989,345,930,143.06
5. Step 5: Solve for x
   x = 1,989,345,930,143.06/677,196
6. Step 6: Final answer
   x = 2,937,622.09