Finding the Third Proportional to 677,424 and 1,448,256

Step by Step Solution

1. Step 1: Write the proportion equation
   677,424 : 1,448,256 = 1,448,256 : x
2. Step 2: Convert to fraction form
   677,424/1,448,256 = 1,448,256/x
3. Step 3: Cross multiply
   677,424x = 1,448,256 × 1,448,256
4. Step 4: Simplify right side
   677,424x = 2,097,445,441,536
5. Step 5: Solve for x
   x = 2,097,445,441,536/677,424
6. Step 6: Final answer
   x = 3,096,207.75