Finding the Third Proportional to 144,596 and 216,064

Step by Step Solution

1. Step 1: Write the proportion equation
   144,596 : 216,064 = 216,064 : x
2. Step 2: Convert to fraction form
   144,596/216,064 = 216,064/x
3. Step 3: Cross multiply
   144,596x = 216,064 × 216,064
4. Step 4: Simplify right side
   144,596x = 46,683,652,096
5. Step 5: Solve for x
   x = 46,683,652,096/144,596
6. Step 6: Final answer
   x = 322,855.76