Finding the Third Proportional to 138,816 and 300,960

Step by Step Solution

1. Step 1: Write the proportion equation
   138,816 : 300,960 = 300,960 : x
2. Step 2: Convert to fraction form
   138,816/300,960 = 300,960/x
3. Step 3: Cross multiply
   138,816x = 300,960 × 300,960
4. Step 4: Simplify right side
   138,816x = 90,576,921,600
5. Step 5: Solve for x
   x = 90,576,921,600/138,816
6. Step 6: Final answer
   x = 652,496.27