Finding the Third Proportional to 386,378 and 841,404

Step by Step Solution

1. Step 1: Write the proportion equation
   386,378 : 841,404 = 841,404 : x
2. Step 2: Convert to fraction form
   386,378/841,404 = 841,404/x
3. Step 3: Cross multiply
   386,378x = 841,404 × 841,404
4. Step 4: Simplify right side
   386,378x = 707,960,691,216
5. Step 5: Solve for x
   x = 707,960,691,216/386,378
6. Step 6: Final answer
   x = 1,832,300.73