Finding the Third Proportional to 1,188,256 and 2,565,902

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188,256 : 2,565,902 = 2,565,902 : x
2. Step 2: Convert to fraction form
   1,188,256/2,565,902 = 2,565,902/x
3. Step 3: Cross multiply
   1,188,256x = 2,565,902 × 2,565,902
4. Step 4: Simplify right side
   1,188,256x = 6,583,853,073,604
5. Step 5: Solve for x
   x = 6,583,853,073,604/1,188,256
6. Step 6: Final answer
   x = 5,540,769.90