Finding the Third Proportional to 106,744.50 and 231,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,744.50 : 231,022.50 = 231,022.50 : x
2. Step 2: Convert to fraction form
   106,744.50/231,022.50 = 231,022.50/x
3. Step 3: Cross multiply
   106,744.50x = 231,022.50 × 231,022.50
4. Step 4: Simplify right side
   106,744.50x = 53,371,395,506.25
5. Step 5: Solve for x
   x = 53,371,395,506.25/106,744.50
6. Step 6: Final answer
   x = 499,991.99