Finding the Third Proportional to 109,020.25 and 233,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,020.25 : 233,800.50 = 233,800.50 : x
2. Step 2: Convert to fraction form
   109,020.25/233,800.50 = 233,800.50/x
3. Step 3: Cross multiply
   109,020.25x = 233,800.50 × 233,800.50
4. Step 4: Simplify right side
   109,020.25x = 54,662,673,800.25
5. Step 5: Solve for x
   x = 54,662,673,800.25/109,020.25
6. Step 6: Final answer
   x = 501,399.27