Finding the Third Proportional to 384,111 and 841,401

Step by Step Solution

1. Step 1: Write the proportion equation
   384,111 : 841,401 = 841,401 : x
2. Step 2: Convert to fraction form
   384,111/841,401 = 841,401/x
3. Step 3: Cross multiply
   384,111x = 841,401 × 841,401
4. Step 4: Simplify right side
   384,111x = 707,955,642,801
5. Step 5: Solve for x
   x = 707,955,642,801/384,111
6. Step 6: Final answer
   x = 1,843,101.71