Finding the Third Proportional to 826,580 and 1,752,358

Step by Step Solution

1. Step 1: Write the proportion equation
   826,580 : 1,752,358 = 1,752,358 : x
2. Step 2: Convert to fraction form
   826,580/1,752,358 = 1,752,358/x
3. Step 3: Cross multiply
   826,580x = 1,752,358 × 1,752,358
4. Step 4: Simplify right side
   826,580x = 3,070,758,560,164
5. Step 5: Solve for x
   x = 3,070,758,560,164/826,580
6. Step 6: Final answer
   x = 3,715,016.77