Finding the Third Proportional to 109,183.50 and 231,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,183.50 : 231,490.50 = 231,490.50 : x
2. Step 2: Convert to fraction form
   109,183.50/231,490.50 = 231,490.50/x
3. Step 3: Cross multiply
   109,183.50x = 231,490.50 × 231,490.50
4. Step 4: Simplify right side
   109,183.50x = 53,587,851,590.25
5. Step 5: Solve for x
   x = 53,587,851,590.25/109,183.50
6. Step 6: Final answer
   x = 490,805.40