Finding the Third Proportional to 89,138 and 194,268

Step by Step Solution

1. Step 1: Write the proportion equation
   89,138 : 194,268 = 194,268 : x
2. Step 2: Convert to fraction form
   89,138/194,268 = 194,268/x
3. Step 3: Cross multiply
   89,138x = 194,268 × 194,268
4. Step 4: Simplify right side
   89,138x = 37,740,055,824
5. Step 5: Solve for x
   x = 37,740,055,824/89,138
6. Step 6: Final answer
   x = 423,389.08