Finding the Third Proportional to 1,306,413 and 2,665,314

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306,413 : 2,665,314 = 2,665,314 : x
2. Step 2: Convert to fraction form
   1,306,413/2,665,314 = 2,665,314/x
3. Step 3: Cross multiply
   1,306,413x = 2,665,314 × 2,665,314
4. Step 4: Simplify right side
   1,306,413x = 7,103,898,718,596
5. Step 5: Solve for x
   x = 7,103,898,718,596/1,306,413
6. Step 6: Final answer
   x = 5,437,712.82