Finding the Third Proportional to 82,003.50 and 122,372.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,003.50 : 122,372.38 = 122,372.38 : x
2. Step 2: Convert to fraction form
   82,003.50/122,372.38 = 122,372.38/x
3. Step 3: Cross multiply
   82,003.50x = 122,372.38 × 122,372.38
4. Step 4: Simplify right side
   82,003.50x = 14,974,998,163.14
5. Step 5: Solve for x
   x = 14,974,998,163.14/82,003.50
6. Step 6: Final answer
   x = 182,614.13