Finding the Third Proportional to 82,234 and 123,027

Step by Step Solution

1. Step 1: Write the proportion equation
   82,234 : 123,027 = 123,027 : x
2. Step 2: Convert to fraction form
   82,234/123,027 = 123,027/x
3. Step 3: Cross multiply
   82,234x = 123,027 × 123,027
4. Step 4: Simplify right side
   82,234x = 15,135,642,729
5. Step 5: Solve for x
   x = 15,135,642,729/82,234
6. Step 6: Final answer
   x = 184,055.78