Finding the Third Proportional to 971,256 and 1,463,364

Step by Step Solution

1. Step 1: Write the proportion equation
   971,256 : 1,463,364 = 1,463,364 : x
2. Step 2: Convert to fraction form
   971,256/1,463,364 = 1,463,364/x
3. Step 3: Cross multiply
   971,256x = 1,463,364 × 1,463,364
4. Step 4: Simplify right side
   971,256x = 2,141,434,196,496
5. Step 5: Solve for x
   x = 2,141,434,196,496/971,256
6. Step 6: Final answer
   x = 2,204,809.23