Finding the Third Proportional to 109,174 and 231,471

Step by Step Solution

1. Step 1: Write the proportion equation
   109,174 : 231,471 = 231,471 : x
2. Step 2: Convert to fraction form
   109,174/231,471 = 231,471/x
3. Step 3: Cross multiply
   109,174x = 231,471 × 231,471
4. Step 4: Simplify right side
   109,174x = 53,578,823,841
5. Step 5: Solve for x
   x = 53,578,823,841/109,174
6. Step 6: Final answer
   x = 490,765.42