Finding the Third Proportional to 82,836.75 and 184,398

Step by Step Solution

1. Step 1: Write the proportion equation
   82,836.75 : 184,398 = 184,398 : x
2. Step 2: Convert to fraction form
   82,836.75/184,398 = 184,398/x
3. Step 3: Cross multiply
   82,836.75x = 184,398 × 184,398
4. Step 4: Simplify right side
   82,836.75x = 34,002,622,404
5. Step 5: Solve for x
   x = 34,002,622,404/82,836.75
6. Step 6: Final answer
   x = 410,477.50