Finding the Third Proportional to 825,741 and 1,276,185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   825,741 : 1,276,185.38 = 1,276,185.38 : x
2. Step 2: Convert to fraction form
   825,741/1,276,185.38 = 1,276,185.38/x
3. Step 3: Cross multiply
   825,741x = 1,276,185.38 × 1,276,185.38
4. Step 4: Simplify right side
   825,741x = 1,628,649,111,363.89
5. Step 5: Solve for x
   x = 1,628,649,111,363.89/825,741
6. Step 6: Final answer
   x = 1,972,348.61