Finding the Third Proportional to 82,099.50 and 176,865

Step by Step Solution

1. Step 1: Write the proportion equation
   82,099.50 : 176,865 = 176,865 : x
2. Step 2: Convert to fraction form
   82,099.50/176,865 = 176,865/x
3. Step 3: Cross multiply
   82,099.50x = 176,865 × 176,865
4. Step 4: Simplify right side
   82,099.50x = 31,281,228,225
5. Step 5: Solve for x
   x = 31,281,228,225/82,099.50
6. Step 6: Final answer
   x = 381,016.06