Finding the Third Proportional to 143,584 and 205,530

Step by Step Solution

1. Step 1: Write the proportion equation
   143,584 : 205,530 = 205,530 : x
2. Step 2: Convert to fraction form
   143,584/205,530 = 205,530/x
3. Step 3: Cross multiply
   143,584x = 205,530 × 205,530
4. Step 4: Simplify right side
   143,584x = 42,242,580,900
5. Step 5: Solve for x
   x = 42,242,580,900/143,584
6. Step 6: Final answer
   x = 294,201.17