Finding the Third Proportional to 265,768 and 388,420

Step by Step Solution

1. Step 1: Write the proportion equation
   265,768 : 388,420 = 388,420 : x
2. Step 2: Convert to fraction form
   265,768/388,420 = 388,420/x
3. Step 3: Cross multiply
   265,768x = 388,420 × 388,420
4. Step 4: Simplify right side
   265,768x = 150,870,096,400
5. Step 5: Solve for x
   x = 150,870,096,400/265,768
6. Step 6: Final answer
   x = 567,675.93