Finding the Third Proportional to 1,013,540 and 1,365,169

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,540 : 1,365,169 = 1,365,169 : x
2. Step 2: Convert to fraction form
   1,013,540/1,365,169 = 1,365,169/x
3. Step 3: Cross multiply
   1,013,540x = 1,365,169 × 1,365,169
4. Step 4: Simplify right side
   1,013,540x = 1,863,686,398,561
5. Step 5: Solve for x
   x = 1,863,686,398,561/1,013,540
6. Step 6: Final answer
   x = 1,838,789.19