Finding the Third Proportional to 82,384.50 and 179,871

Step by Step Solution

1. Step 1: Write the proportion equation
   82,384.50 : 179,871 = 179,871 : x
2. Step 2: Convert to fraction form
   82,384.50/179,871 = 179,871/x
3. Step 3: Cross multiply
   82,384.50x = 179,871 × 179,871
4. Step 4: Simplify right side
   82,384.50x = 32,353,576,641
5. Step 5: Solve for x
   x = 32,353,576,641/82,384.50
6. Step 6: Final answer
   x = 392,714.37