Finding the Third Proportional to 81,771 and 123,063

Step by Step Solution

1. Step 1: Write the proportion equation
   81,771 : 123,063 = 123,063 : x
2. Step 2: Convert to fraction form
   81,771/123,063 = 123,063/x
3. Step 3: Cross multiply
   81,771x = 123,063 × 123,063
4. Step 4: Simplify right side
   81,771x = 15,144,501,969
5. Step 5: Solve for x
   x = 15,144,501,969/81,771
6. Step 6: Final answer
   x = 185,206.27