Finding the Third Proportional to 82,105.50 and 176,871

Step by Step Solution

1. Step 1: Write the proportion equation
   82,105.50 : 176,871 = 176,871 : x
2. Step 2: Convert to fraction form
   82,105.50/176,871 = 176,871/x
3. Step 3: Cross multiply
   82,105.50x = 176,871 × 176,871
4. Step 4: Simplify right side
   82,105.50x = 31,283,350,641
5. Step 5: Solve for x
   x = 31,283,350,641/82,105.50
6. Step 6: Final answer
   x = 381,014.07