Finding the Third Proportional to 1,309,648 and 1,969,346

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309,648 : 1,969,346 = 1,969,346 : x
2. Step 2: Convert to fraction form
   1,309,648/1,969,346 = 1,969,346/x
3. Step 3: Cross multiply
   1,309,648x = 1,969,346 × 1,969,346
4. Step 4: Simplify right side
   1,309,648x = 3,878,323,667,716
5. Step 5: Solve for x
   x = 3,878,323,667,716/1,309,648
6. Step 6: Final answer
   x = 2,961,348.14