Finding the Third Proportional to 261,361.50 and 368,064

Step by Step Solution

1. Step 1: Write the proportion equation
   261,361.50 : 368,064 = 368,064 : x
2. Step 2: Convert to fraction form
   261,361.50/368,064 = 368,064/x
3. Step 3: Cross multiply
   261,361.50x = 368,064 × 368,064
4. Step 4: Simplify right side
   261,361.50x = 135,471,108,096
5. Step 5: Solve for x
   x = 135,471,108,096/261,361.50
6. Step 6: Final answer
   x = 518,328.48