Finding the Third Proportional to 1,021,288 and 1,616,416

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021,288 : 1,616,416 = 1,616,416 : x
2. Step 2: Convert to fraction form
   1,021,288/1,616,416 = 1,616,416/x
3. Step 3: Cross multiply
   1,021,288x = 1,616,416 × 1,616,416
4. Step 4: Simplify right side
   1,021,288x = 2,612,800,685,056
5. Step 5: Solve for x
   x = 2,612,800,685,056/1,021,288
6. Step 6: Final answer
   x = 2,558,338.77