Finding the Third Proportional to 1,209,299 and 1,829,580

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209,299 : 1,829,580 = 1,829,580 : x
2. Step 2: Convert to fraction form
   1,209,299/1,829,580 = 1,829,580/x
3. Step 3: Cross multiply
   1,209,299x = 1,829,580 × 1,829,580
4. Step 4: Simplify right side
   1,209,299x = 3,347,362,976,400
5. Step 5: Solve for x
   x = 3,347,362,976,400/1,209,299
6. Step 6: Final answer
   x = 2,768,019.30