Finding the Third Proportional to 143,544 and 205,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,544 : 205,474.50 = 205,474.50 : x
2. Step 2: Convert to fraction form
   143,544/205,474.50 = 205,474.50/x
3. Step 3: Cross multiply
   143,544x = 205,474.50 × 205,474.50
4. Step 4: Simplify right side
   143,544x = 42,219,770,150.25
5. Step 5: Solve for x
   x = 42,219,770,150.25/143,544
6. Step 6: Final answer
   x = 294,124.24