Finding the Third Proportional to 82,821 and 178,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,821 : 178,885.50 = 178,885.50 : x
2. Step 2: Convert to fraction form
   82,821/178,885.50 = 178,885.50/x
3. Step 3: Cross multiply
   82,821x = 178,885.50 × 178,885.50
4. Step 4: Simplify right side
   82,821x = 32,000,022,110.25
5. Step 5: Solve for x
   x = 32,000,022,110.25/82,821
6. Step 6: Final answer
   x = 386,375.70