Finding the Third Proportional to 81,356 and 175,871

Step by Step Solution

1. Step 1: Write the proportion equation
   81,356 : 175,871 = 175,871 : x
2. Step 2: Convert to fraction form
   81,356/175,871 = 175,871/x
3. Step 3: Cross multiply
   81,356x = 175,871 × 175,871
4. Step 4: Simplify right side
   81,356x = 30,930,608,641
5. Step 5: Solve for x
   x = 30,930,608,641/81,356
6. Step 6: Final answer
   x = 380,188.41