Finding the Third Proportional to 89,544 and 194,904

Step by Step Solution

1. Step 1: Write the proportion equation
   89,544 : 194,904 = 194,904 : x
2. Step 2: Convert to fraction form
   89,544/194,904 = 194,904/x
3. Step 3: Cross multiply
   89,544x = 194,904 × 194,904
4. Step 4: Simplify right side
   89,544x = 37,987,569,216
5. Step 5: Solve for x
   x = 37,987,569,216/89,544
6. Step 6: Final answer
   x = 424,233.55