Finding the Third Proportional to 143,524.50 and 205,446

Step by Step Solution

1. Step 1: Write the proportion equation
   143,524.50 : 205,446 = 205,446 : x
2. Step 2: Convert to fraction form
   143,524.50/205,446 = 205,446/x
3. Step 3: Cross multiply
   143,524.50x = 205,446 × 205,446
4. Step 4: Simplify right side
   143,524.50x = 42,208,058,916
5. Step 5: Solve for x
   x = 42,208,058,916/143,524.50
6. Step 6: Final answer
   x = 294,082.61