Finding the Third Proportional to 766,256 and 1,149,384

Step by Step Solution

1. Step 1: Write the proportion equation
   766,256 : 1,149,384 = 1,149,384 : x
2. Step 2: Convert to fraction form
   766,256/1,149,384 = 1,149,384/x
3. Step 3: Cross multiply
   766,256x = 1,149,384 × 1,149,384
4. Step 4: Simplify right side
   766,256x = 1,321,083,579,456
5. Step 5: Solve for x
   x = 1,321,083,579,456/766,256
6. Step 6: Final answer
   x = 1,724,076