Finding the Third Proportional to 82,818 and 179,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,818 : 179,638.50 = 179,638.50 : x
2. Step 2: Convert to fraction form
   82,818/179,638.50 = 179,638.50/x
3. Step 3: Cross multiply
   82,818x = 179,638.50 × 179,638.50
4. Step 4: Simplify right side
   82,818x = 32,269,990,682.25
5. Step 5: Solve for x
   x = 32,269,990,682.25/82,818
6. Step 6: Final answer
   x = 389,649.48