Finding the Third Proportional to 384,205 and 843,144

Step by Step Solution

1. Step 1: Write the proportion equation
   384,205 : 843,144 = 843,144 : x
2. Step 2: Convert to fraction form
   384,205/843,144 = 843,144/x
3. Step 3: Cross multiply
   384,205x = 843,144 × 843,144
4. Step 4: Simplify right side
   384,205x = 710,891,804,736
5. Step 5: Solve for x
   x = 710,891,804,736/384,205
6. Step 6: Final answer
   x = 1,850,292.95