Finding the Third Proportional to 1,197,201 and 2,584,314

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197,201 : 2,584,314 = 2,584,314 : x
2. Step 2: Convert to fraction form
   1,197,201/2,584,314 = 2,584,314/x
3. Step 3: Cross multiply
   1,197,201x = 2,584,314 × 2,584,314
4. Step 4: Simplify right side
   1,197,201x = 6,678,678,850,596
5. Step 5: Solve for x
   x = 6,678,678,850,596/1,197,201
6. Step 6: Final answer
   x = 5,578,577.74