Finding the Third Proportional to 829,394 and 1,789,540

Step by Step Solution

1. Step 1: Write the proportion equation
   829,394 : 1,789,540 = 1,789,540 : x
2. Step 2: Convert to fraction form
   829,394/1,789,540 = 1,789,540/x
3. Step 3: Cross multiply
   829,394x = 1,789,540 × 1,789,540
4. Step 4: Simplify right side
   829,394x = 3,202,453,411,600
5. Step 5: Solve for x
   x = 3,202,453,411,600/829,394
6. Step 6: Final answer
   x = 3,861,196.74