Finding the Third Proportional to 123,840 and 194,544

Step by Step Solution

1. Step 1: Write the proportion equation
   123,840 : 194,544 = 194,544 : x
2. Step 2: Convert to fraction form
   123,840/194,544 = 194,544/x
3. Step 3: Cross multiply
   123,840x = 194,544 × 194,544
4. Step 4: Simplify right side
   123,840x = 37,847,367,936
5. Step 5: Solve for x
   x = 37,847,367,936/123,840
6. Step 6: Final answer
   x = 305,615.05