Finding the Third Proportional to 1,197,080 and 2,560,192

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197,080 : 2,560,192 = 2,560,192 : x
2. Step 2: Convert to fraction form
   1,197,080/2,560,192 = 2,560,192/x
3. Step 3: Cross multiply
   1,197,080x = 2,560,192 × 2,560,192
4. Step 4: Simplify right side
   1,197,080x = 6,554,583,076,864
5. Step 5: Solve for x
   x = 6,554,583,076,864/1,197,080
6. Step 6: Final answer
   x = 5,475,476.22