Finding the Third Proportional to 82,503 and 123,936.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,503 : 123,936.75 = 123,936.75 : x
2. Step 2: Convert to fraction form
   82,503/123,936.75 = 123,936.75/x
3. Step 3: Cross multiply
   82,503x = 123,936.75 × 123,936.75
4. Step 4: Simplify right side
   82,503x = 15,360,318,000.56
5. Step 5: Solve for x
   x = 15,360,318,000.56/82,503
6. Step 6: Final answer
   x = 186,178.90