Finding the Third Proportional to 976,540 and 1,463,846

Step by Step Solution

1. Step 1: Write the proportion equation
   976,540 : 1,463,846 = 1,463,846 : x
2. Step 2: Convert to fraction form
   976,540/1,463,846 = 1,463,846/x
3. Step 3: Cross multiply
   976,540x = 1,463,846 × 1,463,846
4. Step 4: Simplify right side
   976,540x = 2,142,845,111,716
5. Step 5: Solve for x
   x = 2,142,845,111,716/976,540
6. Step 6: Final answer
   x = 2,194,323.95