Finding the Third Proportional to 82,198.50 and 179,615.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,198.50 : 179,615.25 = 179,615.25 : x
2. Step 2: Convert to fraction form
   82,198.50/179,615.25 = 179,615.25/x
3. Step 3: Cross multiply
   82,198.50x = 179,615.25 × 179,615.25
4. Step 4: Simplify right side
   82,198.50x = 32,261,638,032.56
5. Step 5: Solve for x
   x = 32,261,638,032.56/82,198.50
6. Step 6: Final answer
   x = 392,484.51