Finding the Third Proportional to 260,010 and 388,314

Step by Step Solution

1. Step 1: Write the proportion equation
   260,010 : 388,314 = 388,314 : x
2. Step 2: Convert to fraction form
   260,010/388,314 = 388,314/x
3. Step 3: Cross multiply
   260,010x = 388,314 × 388,314
4. Step 4: Simplify right side
   260,010x = 150,787,762,596
5. Step 5: Solve for x
   x = 150,787,762,596/260,010
6. Step 6: Final answer
   x = 579,930.63