Finding the Third Proportional to 82,836 and 179,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,836 : 179,671.50 = 179,671.50 : x
2. Step 2: Convert to fraction form
   82,836/179,671.50 = 179,671.50/x
3. Step 3: Cross multiply
   82,836x = 179,671.50 × 179,671.50
4. Step 4: Simplify right side
   82,836x = 32,281,847,912.25
5. Step 5: Solve for x
   x = 32,281,847,912.25/82,836
6. Step 6: Final answer
   x = 389,707.95