Finding the Third Proportional to 1,191,584 and 1,764,228

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191,584 : 1,764,228 = 1,764,228 : x
2. Step 2: Convert to fraction form
   1,191,584/1,764,228 = 1,764,228/x
3. Step 3: Cross multiply
   1,191,584x = 1,764,228 × 1,764,228
4. Step 4: Simplify right side
   1,191,584x = 3,112,500,435,984
5. Step 5: Solve for x
   x = 3,112,500,435,984/1,191,584
6. Step 6: Final answer
   x = 2,612,069.68