Finding the Third Proportional to 140,092 and 311,288

Step by Step Solution

1. Step 1: Write the proportion equation
   140,092 : 311,288 = 311,288 : x
2. Step 2: Convert to fraction form
   140,092/311,288 = 311,288/x
3. Step 3: Cross multiply
   140,092x = 311,288 × 311,288
4. Step 4: Simplify right side
   140,092x = 96,900,218,944
5. Step 5: Solve for x
   x = 96,900,218,944/140,092
6. Step 6: Final answer
   x = 691,689.88