Finding the Third Proportional to 89,403 and 189,174

Step by Step Solution

1. Step 1: Write the proportion equation
   89,403 : 189,174 = 189,174 : x
2. Step 2: Convert to fraction form
   89,403/189,174 = 189,174/x
3. Step 3: Cross multiply
   89,403x = 189,174 × 189,174
4. Step 4: Simplify right side
   89,403x = 35,786,802,276
5. Step 5: Solve for x
   x = 35,786,802,276/89,403
6. Step 6: Final answer
   x = 400,286.37