Finding the Third Proportional to 82,066 and 123,180

Step by Step Solution

1. Step 1: Write the proportion equation
   82,066 : 123,180 = 123,180 : x
2. Step 2: Convert to fraction form
   82,066/123,180 = 123,180/x
3. Step 3: Cross multiply
   82,066x = 123,180 × 123,180
4. Step 4: Simplify right side
   82,066x = 15,173,312,400
5. Step 5: Solve for x
   x = 15,173,312,400/82,066
6. Step 6: Final answer
   x = 184,891.58