Finding the Third Proportional to 82,231 and 123,022

Step by Step Solution

1. Step 1: Write the proportion equation
   82,231 : 123,022 = 123,022 : x
2. Step 2: Convert to fraction form
   82,231/123,022 = 123,022/x
3. Step 3: Cross multiply
   82,231x = 123,022 × 123,022
4. Step 4: Simplify right side
   82,231x = 15,134,412,484
5. Step 5: Solve for x
   x = 15,134,412,484/82,231
6. Step 6: Final answer
   x = 184,047.53