Finding the Third Proportional to 140,576 and 223,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,576 : 223,384 = 223,384 : x
2. Step 2: Convert to fraction form
   140,576/223,384 = 223,384/x
3. Step 3: Cross multiply
   140,576x = 223,384 × 223,384
4. Step 4: Simplify right side
   140,576x = 49,900,411,456
5. Step 5: Solve for x
   x = 49,900,411,456/140,576
6. Step 6: Final answer
   x = 354,971.06