Finding the Third Proportional to 82,065 and 123,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,065 : 123,178.50 = 123,178.50 : x
2. Step 2: Convert to fraction form
   82,065/123,178.50 = 123,178.50/x
3. Step 3: Cross multiply
   82,065x = 123,178.50 × 123,178.50
4. Step 4: Simplify right side
   82,065x = 15,172,942,862.25
5. Step 5: Solve for x
   x = 15,172,942,862.25/82,065
6. Step 6: Final answer
   x = 184,889.33