Finding the Third Proportional to 89,238.38 and 193,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,238.38 : 193,178.25 = 193,178.25 : x
2. Step 2: Convert to fraction form
   89,238.38/193,178.25 = 193,178.25/x
3. Step 3: Cross multiply
   89,238.38x = 193,178.25 × 193,178.25
4. Step 4: Simplify right side
   89,238.38x = 37,317,836,273.06
5. Step 5: Solve for x
   x = 37,317,836,273.06/89,238.38
6. Step 6: Final answer
   x = 418,181.49