Finding the Third Proportional to 259,738 and 388,562

Step by Step Solution

1. Step 1: Write the proportion equation
   259,738 : 388,562 = 388,562 : x
2. Step 2: Convert to fraction form
   259,738/388,562 = 388,562/x
3. Step 3: Cross multiply
   259,738x = 388,562 × 388,562
4. Step 4: Simplify right side
   259,738x = 150,980,427,844
5. Step 5: Solve for x
   x = 150,980,427,844/259,738
6. Step 6: Final answer
   x = 581,279.70