Finding the Third Proportional to 1,191,105 and 2,596,374

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191,105 : 2,596,374 = 2,596,374 : x
2. Step 2: Convert to fraction form
   1,191,105/2,596,374 = 2,596,374/x
3. Step 3: Cross multiply
   1,191,105x = 2,596,374 × 2,596,374
4. Step 4: Simplify right side
   1,191,105x = 6,741,157,947,876
5. Step 5: Solve for x
   x = 6,741,157,947,876/1,191,105
6. Step 6: Final answer
   x = 5,659,583.28