Finding the Third Proportional to 143,022.50 and 194,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,022.50 : 194,241.50 = 194,241.50 : x
2. Step 2: Convert to fraction form
   143,022.50/194,241.50 = 194,241.50/x
3. Step 3: Cross multiply
   143,022.50x = 194,241.50 × 194,241.50
4. Step 4: Simplify right side
   143,022.50x = 37,729,760,322.25
5. Step 5: Solve for x
   x = 37,729,760,322.25/143,022.50
6. Step 6: Final answer
   x = 263,802.97