Finding the Third Proportional to 143,546 and 205,476

Step by Step Solution

1. Step 1: Write the proportion equation
   143,546 : 205,476 = 205,476 : x
2. Step 2: Convert to fraction form
   143,546/205,476 = 205,476/x
3. Step 3: Cross multiply
   143,546x = 205,476 × 205,476
4. Step 4: Simplify right side
   143,546x = 42,220,386,576
5. Step 5: Solve for x
   x = 42,220,386,576/143,546
6. Step 6: Final answer
   x = 294,124.44