Finding the Third Proportional to 108,871 and 233,293

Step by Step Solution

1. Step 1: Write the proportion equation
   108,871 : 233,293 = 233,293 : x
2. Step 2: Convert to fraction form
   108,871/233,293 = 233,293/x
3. Step 3: Cross multiply
   108,871x = 233,293 × 233,293
4. Step 4: Simplify right side
   108,871x = 54,425,623,849
5. Step 5: Solve for x
   x = 54,425,623,849/108,871
6. Step 6: Final answer
   x = 499,909.29