Finding the Third Proportional to 81,092 and 123,086

Step by Step Solution

1. Step 1: Write the proportion equation
   81,092 : 123,086 = 123,086 : x
2. Step 2: Convert to fraction form
   81,092/123,086 = 123,086/x
3. Step 3: Cross multiply
   81,092x = 123,086 × 123,086
4. Step 4: Simplify right side
   81,092x = 15,150,163,396
5. Step 5: Solve for x
   x = 15,150,163,396/81,092
6. Step 6: Final answer
   x = 186,826.86