Finding the Third Proportional to 826,593 and 1,752,384

Step by Step Solution

1. Step 1: Write the proportion equation
   826,593 : 1,752,384 = 1,752,384 : x
2. Step 2: Convert to fraction form
   826,593/1,752,384 = 1,752,384/x
3. Step 3: Cross multiply
   826,593x = 1,752,384 × 1,752,384
4. Step 4: Simplify right side
   826,593x = 3,070,849,683,456
5. Step 5: Solve for x
   x = 3,070,849,683,456/826,593
6. Step 6: Final answer
   x = 3,715,068.58