Finding the Third Proportional to 143,734.50 and 205,821

Step by Step Solution

1. Step 1: Write the proportion equation
   143,734.50 : 205,821 = 205,821 : x
2. Step 2: Convert to fraction form
   143,734.50/205,821 = 205,821/x
3. Step 3: Cross multiply
   143,734.50x = 205,821 × 205,821
4. Step 4: Simplify right side
   143,734.50x = 42,362,284,041
5. Step 5: Solve for x
   x = 42,362,284,041/143,734.50
6. Step 6: Final answer
   x = 294,725.93