Finding the Third Proportional to 82,327.50 and 180,693

Step by Step Solution

1. Step 1: Write the proportion equation
   82,327.50 : 180,693 = 180,693 : x
2. Step 2: Convert to fraction form
   82,327.50/180,693 = 180,693/x
3. Step 3: Cross multiply
   82,327.50x = 180,693 × 180,693
4. Step 4: Simplify right side
   82,327.50x = 32,649,960,249
5. Step 5: Solve for x
   x = 32,649,960,249/82,327.50
6. Step 6: Final answer
   x = 396,586.32