Finding the Third Proportional to 259,892 and 388,781

Step by Step Solution

1. Step 1: Write the proportion equation
   259,892 : 388,781 = 388,781 : x
2. Step 2: Convert to fraction form
   259,892/388,781 = 388,781/x
3. Step 3: Cross multiply
   259,892x = 388,781 × 388,781
4. Step 4: Simplify right side
   259,892x = 151,150,665,961
5. Step 5: Solve for x
   x = 151,150,665,961/259,892
6. Step 6: Final answer
   x = 581,590.30