Finding the Third Proportional to 156,576 and 223,834

Step by Step Solution

1. Step 1: Write the proportion equation
   156,576 : 223,834 = 223,834 : x
2. Step 2: Convert to fraction form
   156,576/223,834 = 223,834/x
3. Step 3: Cross multiply
   156,576x = 223,834 × 223,834
4. Step 4: Simplify right side
   156,576x = 50,101,659,556
5. Step 5: Solve for x
   x = 50,101,659,556/156,576
6. Step 6: Final answer
   x = 319,983.01