Finding the Third Proportional to 82,247 and 179,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,247 : 179,367.50 = 179,367.50 : x
2. Step 2: Convert to fraction form
   82,247/179,367.50 = 179,367.50/x
3. Step 3: Cross multiply
   82,247x = 179,367.50 × 179,367.50
4. Step 4: Simplify right side
   82,247x = 32,172,700,056.25
5. Step 5: Solve for x
   x = 32,172,700,056.25/82,247
6. Step 6: Final answer
   x = 391,171.72