Finding the Third Proportional to 81,777 and 123,071

Step by Step Solution

1. Step 1: Write the proportion equation
   81,777 : 123,071 = 123,071 : x
2. Step 2: Convert to fraction form
   81,777/123,071 = 123,071/x
3. Step 3: Cross multiply
   81,777x = 123,071 × 123,071
4. Step 4: Simplify right side
   81,777x = 15,146,471,041
5. Step 5: Solve for x
   x = 15,146,471,041/81,777
6. Step 6: Final answer
   x = 185,216.76