Finding the Third Proportional to 82,013.75 and 123,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,013.75 : 123,020.50 = 123,020.50 : x
2. Step 2: Convert to fraction form
   82,013.75/123,020.50 = 123,020.50/x
3. Step 3: Cross multiply
   82,013.75x = 123,020.50 × 123,020.50
4. Step 4: Simplify right side
   82,013.75x = 15,134,043,420.25
5. Step 5: Solve for x
   x = 15,134,043,420.25/82,013.75
6. Step 6: Final answer
   x = 184,530.56